Solving Radical Equations

แชร์
ฝัง
  • เผยแพร่เมื่อ 22 ก.ค. 2024
  • This algebra video tutorial explains how to solve radical equations. It contains plenty of examples and practice problems.
    Square Roots and Cube Roots: • Square Roots and Cube ...
    Simplifying Radical Expressions:
    • Simplifying Radicals
    Multiplying Radical Expressions:
    • Multiplying Radical Ex...
    Adding & Subtracting Radicals:
    • Adding and Subtracting...
    Simplifying Cube Root Expressions:
    • How To Simplify Cube R...
    __________________________________
    Rationalizing The Denominator:
    • Rationalize The Denomi...
    Multiplying Radicals With Different Indices:
    • Multiplying Radical Ex...
    How To Solve Radical Equations:
    • Solving Radical Equations
    Solving Equations With Cube Roots:
    • Solving Equations With...
    Solving Complex Radical Equations:
    • How To Solve Complex R...
    ____________________________________
    How To Graph Radical Functions:
    • How To Graph Radical F...
    Domain of Radical Functions:
    • How To Find The Domain...
    How To Graph Cube Root Functions:
    • Graphing Cube Root Fun...
    Radical Expressions - Test Review:
    • Simplifying Radical Ex...
    ____________________________________
    Final Exams and Video Playlists:
    www.video-tutor.net/
    Full-Length Videos and Worksheets:
    / collections

ความคิดเห็น • 380

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  6 หลายเดือนก่อน +9

    Final Exams and Video Playlists: www.video-tutor.net/
    Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections

  • @phoebehan3132
    @phoebehan3132 3 ปีที่แล้ว +1486

    this dude is single-handedly carrying me through math

    • @davidvancleave6350
      @davidvancleave6350 3 ปีที่แล้ว +14

      Same like i Watched this dude and its like i feal like im back in elementary School lol

    • @christopherj3431
      @christopherj3431 3 ปีที่แล้ว +6

      Little with a single hand .

    • @pulxisfy644
      @pulxisfy644 3 ปีที่แล้ว +14

      Dude I haven't listen to my teacher the whole year and have a huge test now I have to figure out all of this

    • @bankrollduke8999
      @bankrollduke8999 3 ปีที่แล้ว +3

      No🅱️ap

    • @opalmitchell8959
      @opalmitchell8959 3 ปีที่แล้ว +2

      Diittooo!!!! Same here!!!

  • @alaynaguzzi2017
    @alaynaguzzi2017 3 ปีที่แล้ว +173

    Bless this man. May he live the happiest life.

  • @taye108
    @taye108 3 ปีที่แล้ว +317

    I've lost all my brain cells.

    • @taye108
      @taye108 3 ปีที่แล้ว +39

      but it's okay, I can keep pushing, and so can YOU! you can ace that exam!

    • @misakiayuzawa9250
      @misakiayuzawa9250 3 ปีที่แล้ว +4

      Hahahahah

    • @yagreenfodat5286
      @yagreenfodat5286 3 ปีที่แล้ว +20

      @@taye108 dont give me that hope i got lost at 1:50

    • @judithp.5204
      @judithp.5204 3 ปีที่แล้ว +2

      Same here😢

    • @houoinmoca1711
      @houoinmoca1711 3 ปีที่แล้ว +2

      +3 is not inside the "√"
      "√7-x"+3=5
      (Sorry for my bad english ._.)

  • @lionsareblue8421
    @lionsareblue8421 ปีที่แล้ว +33

    this guy actually explains an entire topic in a video when my teacher couldn’t get me to understand this over the course of a week

  • @majedsad9723
    @majedsad9723 4 ปีที่แล้ว +156

    Man, you are Amazing. It is the way in which you explain things whether physics, chemistry or mathematics, you know how to say what a student needs to hear.
    Thank you!

  • @faithalcantara7205
    @faithalcantara7205 4 ปีที่แล้ว +199

    Who else here 1 day before their exam

    • @intersectionfound
      @intersectionfound 3 ปีที่แล้ว +2

      me :P, how'd ur exam go

    • @Dalmaciooo
      @Dalmaciooo 3 ปีที่แล้ว +2

      Haha me

    • @canadianaviator
      @canadianaviator 3 ปีที่แล้ว +1

      @@Dalmaciooo because of this dude I finally got a 20%

    • @felixxcantfixit
      @felixxcantfixit 3 ปีที่แล้ว +4

      Mines today lol, I'm screwed

    • @canadianaviator
      @canadianaviator 3 ปีที่แล้ว +1

      @@felixxcantfixit Hope you’ll fail!!! 😘😘😘

  • @sydneydulcio1495
    @sydneydulcio1495 3 ปีที่แล้ว +62

    May God give you a world filled with happiness

    • @bitchassbologna9503
      @bitchassbologna9503 2 ปีที่แล้ว +1

      How sweet of you

    • @khunli7
      @khunli7 9 หลายเดือนก่อน +1

      Amen

    • @Hellokittyyy1
      @Hellokittyyy1 3 หลายเดือนก่อน +1

      Amen 🙏🏽 thank you!!

  • @gabrielleseru7945
    @gabrielleseru7945 4 ปีที่แล้ว +101

    36:10
    Him: *shows a multiplication problem with large numbers"
    Me: *Pressing my calculator*
    Him: "How do you solve this without using a calculator"
    Me: *Stops hand right before it hit "equals"*
    "FINE"

    • @ruben8320
      @ruben8320 3 ปีที่แล้ว +24

      36:10 !!!??

    • @Zmdas1465
      @Zmdas1465 3 ปีที่แล้ว +3

      wakanda timestamp is that

    • @DiscernmentBlack
      @DiscernmentBlack 3 หลายเดือนก่อน +1

      The timestamp lmaooo😂 he def js commented on the wrong vid

  • @Rojaye
    @Rojaye 3 ปีที่แล้ว +29

    I'm a returning student taking calculus after 3 years and oh my lord. Just the review homework is mind blowing. everything is so familiar yet so foreign :/

  • @someretard7809
    @someretard7809 2 ปีที่แล้ว +85

    I was overthinking, it's actually quite easy, thanks :).

    • @OhmVibe
      @OhmVibe 8 หลายเดือนก่อน +1

      Same, it really is quite simple.

  • @stickmanoncrack
    @stickmanoncrack 3 ปีที่แล้ว +69

    My sister just threw a notebook at me trying to teach me this 😂
    I learn it and then my brain just spews it out. I guess some people just don't understand Math.

    • @prodseb
      @prodseb 3 ปีที่แล้ว +4

      Today on things that never happened

    • @stickmanoncrack
      @stickmanoncrack 3 ปีที่แล้ว +13

      @@prodseb Well she did! But it's all good Radical Equations are kinda easy now. I think....

    • @guy2574
      @guy2574 2 ปีที่แล้ว +5

      @@stickmanoncrack why aint that dude believe you?? hater fr

    • @stickmanoncrack
      @stickmanoncrack 2 ปีที่แล้ว +1

      @@guy2574 Man I forgot about this... If you're learning Radical Equations good luck man. But yeah he's a hater hahahaha

    • @guy2574
      @guy2574 2 ปีที่แล้ว +4

      @@stickmanoncrack Reviewing the absolute basics for my precalc honors final lol

  • @georgesadler7830
    @georgesadler7830 2 ปีที่แล้ว +28

    MR. Organic Chemistry Tutor, thank you for another great video/lecture on Solving Radical Equations in Algebra. This is an excellent concept to know and understand in all levels of Pure , Applied Science and Mathematics.

  • @esraamousa7136
    @esraamousa7136 2 ปีที่แล้ว +22

    I'm a new math teacher and I was looking for something all over the internet, and I found it only in your video. Thank you so much. I love your work!

  • @kierasherrod329
    @kierasherrod329 3 ปีที่แล้ว +92

    legit in the middle of a quiz trying to learn how to do the questions😀

    • @user-qg7ph7uu2y
      @user-qg7ph7uu2y 3 ปีที่แล้ว +5

      Same

    • @muslimah6326
      @muslimah6326 3 ปีที่แล้ว

      Fr😭

    • @kierasherrod329
      @kierasherrod329 3 ปีที่แล้ว +22

      i’d like you all to know i passed the algebra 2 class i used this video for with a 90🙏🏽

    • @muslimah6326
      @muslimah6326 3 ปีที่แล้ว +2

      @@kierasherrod329 yayy!!! That’s great😊

    • @kamihendrix2031
      @kamihendrix2031 3 ปีที่แล้ว +2

      @@kierasherrod329 Proud of you!!!

  • @istankon-el2470
    @istankon-el2470 ปีที่แล้ว +5

    Watching this a few minutes before I gotta take my test 😭

  • @arrianah5080
    @arrianah5080 ปีที่แล้ว +5

    11:04 bro i would've given up, i do not have the patience to go through that factoring😭😭 or i would've gone straight to the quadratic formula
    mad props to your patience XDD

  • @AnaRodriguez-ze8mx
    @AnaRodriguez-ze8mx 5 ปีที่แล้ว +89

    His voice is so pleasant, makes it easier to understand very step 😝

  • @yago572
    @yago572 3 ปีที่แล้ว +122

    I despise math, tell me how tf is this related to my marketing major lmao

    • @heaven_wevens9544
      @heaven_wevens9544 3 ปีที่แล้ว +28

      Math literally makes me wanna shoot myself in the kneecap lol

    • @scee8474
      @scee8474 3 ปีที่แล้ว +20

      Fr Lmao like what does this have to do with psychology

    • @jupiterthecity
      @jupiterthecity 3 ปีที่แล้ว +15

      North America is bizarre. I did a degree in the UK and every single one of my courses was relevant to what I graduated in. Over here there's Art History majors taking Computer Science courses and vice versa. It makes no sense

    • @Noface678
      @Noface678 3 ปีที่แล้ว +15

      @@jupiterthecity just like everything in the US college is about scamming you and making as much money off of you. Thats big corporate america, welcome aboard.

    • @Dalmaciooo
      @Dalmaciooo 3 ปีที่แล้ว +5

      No tell me how tf is this related to my BS biology

  • @CandyHyper
    @CandyHyper 3 ปีที่แล้ว +10

    Thanks man, I had problems with my math modules but you taught me something.

  • @shannonmckay1025
    @shannonmckay1025 2 ปีที่แล้ว +5

    I’ve recommended your channel soo many times! You’re amazing!

  • @alexc1420
    @alexc1420 3 ปีที่แล้ว +9

    Glad to know I’m not the only one who only understands math when he teaches it

  • @infiinite_studios7
    @infiinite_studios7 3 ปีที่แล้ว +4

    you are a life save when it comes to mathematical problems.....big up dude

  • @jonathanrendza6059
    @jonathanrendza6059 3 ปีที่แล้ว +21

    Ah yes because I will need to know this as a software engineer

  • @johncener6917
    @johncener6917 4 ปีที่แล้ว +8

    How long is this equation

  • @alejrandom6592
    @alejrandom6592 3 ปีที่แล้ว +9

    16:55 to see why -20/9 appears as an answer consider flipping the sign of sqrt(5+x) such that
    -sqrt(5+x)+2=sqrt(4x+9) you'll get the same 2 "solutions" but now only -20/9 will work

  • @DaGreatMJ_
    @DaGreatMJ_ 4 ปีที่แล้ว +16

    He teaches very good with step by step solutions. Although I felt like I was floating in space in some part of the video.

  • @user-qh7pz9ix7y
    @user-qh7pz9ix7y หลายเดือนก่อน

    This is the clearest video on this I have found yet; thank you so much!

  • @Ben-fy3dl
    @Ben-fy3dl 3 ปีที่แล้ว +16

    The last question took more than 10 mins and i didn't understand how you factor it :c
    But still great lesson :)

    • @arrianah5080
      @arrianah5080 ปีที่แล้ว +1

      i understood how he did it but i wouldn't have been able to do it myself xDD

  • @notsogoodatthisshi
    @notsogoodatthisshi 3 ปีที่แล้ว +4

    5:35 why did you use 3x and 3 to subtract?

  • @kaanorhan7368
    @kaanorhan7368 4 ปีที่แล้ว +22

    The 7th one killed my brain...

  • @KurisuNo1
    @KurisuNo1 4 ปีที่แล้ว +30

    Im so confused

  • @ezekielbatingan9546
    @ezekielbatingan9546 3 ปีที่แล้ว +8

    I am learning a lot. Thank you so much ☺️

  • @diannemariecalla5859
    @diannemariecalla5859 2 ปีที่แล้ว +2

    im gonna master my whole math highschool in just one binge watching on your all vids

  • @atlastings
    @atlastings 4 หลายเดือนก่อน

    I usually barely listen in my math class because the teacher expects us to be energetic at like 6:40 a.m. on a monday. Thankfully you save me everytime for my quizzes and exams, appreciate it alot c:

  • @eijiemoo3113
    @eijiemoo3113 3 ปีที่แล้ว +8

    6:27 honestly the math rules are random. Who said we can just re create the equation. I dont understand how we can just move equations around without any math process.

    • @yagreenfodat5286
      @yagreenfodat5286 3 ปีที่แล้ว +1

      this was where i just said f it i i fail i fail

    • @Zmdas1465
      @Zmdas1465 3 ปีที่แล้ว

      They used the additive property of equality (what you call a math process) and added √(4x+9) to both sides. Also there are many possible way to come up with the solutions to any problem which is probably why you think math rules are "random". What they used in the video is one way that is one of the simplest to understand.

  • @danieldennis9831
    @danieldennis9831 10 หลายเดือนก่อน +1

    I love your videos because they are done with the idea of practice.

  • @atypsalty2688
    @atypsalty2688 ปีที่แล้ว +8

    I got a test on this in 10 hours and I’m just now learning how to do this

    • @hound1599
      @hound1599 ปีที่แล้ว +3

      same

    • @optimusedits7269
      @optimusedits7269 ปีที่แล้ว +1

      In which grade are you?I am curious since I am in 9th grade studying mathematics in english.

    • @atypsalty2688
      @atypsalty2688 ปีที่แล้ว +1

      @@optimusedits7269 9th

    • @optimusedits7269
      @optimusedits7269 ปีที่แล้ว +1

      @@atypsalty2688 cool

    • @arrianah5080
      @arrianah5080 ปีที่แล้ว +1

      @@atypsalty2688how'd the test go? im also taking one tomorrow lmfao😭

  • @MonkeyDLuffy-lg8ro
    @MonkeyDLuffy-lg8ro 11 หลายเดือนก่อน +1

    This video lead me to watch ur cube roots video, fractional exponents video, and negative exponents video lol. So i learnt all of them in 1 hour including radical equations lol

  • @erikmartinez6726
    @erikmartinez6726 ปีที่แล้ว +1

    Thanks, man! I got stuck on one of the examples.

  • @alexx479
    @alexx479 4 ปีที่แล้ว +51

    Feels like Mark Wahlberg is teaching me how to do math

  • @certifiedfurryslayer2326
    @certifiedfurryslayer2326 2 ปีที่แล้ว +2

    i’m in 7th grade honors math and i have no idea how to do this, but you just saved me so thank you so much

  • @charlesmitchell5841
    @charlesmitchell5841 ปีที่แล้ว +2

    Love the way this guy teaches!

  • @user-od5ps1je7t
    @user-od5ps1je7t ปีที่แล้ว +2

    bro explains math better than my own teacher

  • @rachel3784
    @rachel3784 3 ปีที่แล้ว +1

    How is x equal to both 0 and 4 @ minute 3:45? Can you explain this please?

  • @thatonegirlfromyourschool7629
    @thatonegirlfromyourschool7629 5 หลายเดือนก่อน

    I usually end up falling asleep in class because of being tired since I'm lazy and it causes me to do work last minute throughout the whole night. Or I am trying to catch up on other schoolwork when the teacher is giving out the lesson. So being able to review it like this helps a lot. Thank you

  • @MrKingdomhearts9
    @MrKingdomhearts9 2 ปีที่แล้ว

    but what would we do if we had to multiply: radical (x+8) * radical (x+5)?

  • @_brul
    @_brul 2 ปีที่แล้ว +3

    i am having an exam this sunday and this helped alot thanks alot

  • @neos1ght615
    @neos1ght615 8 หลายเดือนก่อน +1

    Better than most teachers I’ve EVER had actually lmfao

  • @techno7763
    @techno7763 10 หลายเดือนก่อน +1

    Bro really just outdid my math teacher in helping me understand what's going on.

  • @addieeeson
    @addieeeson 2 ปีที่แล้ว +4

    I have my first college algebra 1 exam in 2 days, and I'm going to be honest, I've learned mostly nothing the past 4 weeks. I'm panicking so much right now, this dude is my last hope.

    • @idopefan
      @idopefan 2 ปีที่แล้ว +1

      same here! exam 2 tomorrow

  • @free_bird4206
    @free_bird4206 2 ปีที่แล้ว +2

    Can u do a problem with x squared to make it more easy to understand

  • @hernanmartinez3044
    @hernanmartinez3044 4 ปีที่แล้ว +3

    Great lesson.

  • @axlylus2790
    @axlylus2790 5 หลายเดือนก่อน +2

    11:00 you made this way more difficult that it has to be, it’s factorable but instead you made it so much harder. simply using the box method you can get (9x+20)(x-4)

  • @marygracesolomon5589
    @marygracesolomon5589 2 ปีที่แล้ว

    Your vids is really amazing,it really helped a lot......

  • @Anii802
    @Anii802 ปีที่แล้ว +1

    Thanks for the hardwork i finally get to answer my assignment!!!! 🙃😭

  • @zacpini549
    @zacpini549 2 ปีที่แล้ว +1

    Does anyone else think that this guys voice is relaxing to listen to😅. My teachers tones alone make me confused let alone the equations.

  • @gericisapro7272
    @gericisapro7272 5 หลายเดือนก่อน

    Thanks for helping to understand math better!

  • @ch33secake81
    @ch33secake81 3 ปีที่แล้ว +1

    hes helping me learn instead of my teachers no offense this guy is better

  • @user-zb7ru9zz7k
    @user-zb7ru9zz7k ปีที่แล้ว +1

    This helped me a lot…..I got unlucky with a bad math teacher so I’m struggling right now

  • @misguidedmiscreants547
    @misguidedmiscreants547 3 ปีที่แล้ว +6

    Anybody else cant help but to read Sqrt as Squirt?
    dont mind me, just procrastinating :)

  • @thesaurusrex7919
    @thesaurusrex7919 ปีที่แล้ว +1

    You know you’re a good content creator when your professor is telling you watch this video

  • @nooraizkhatib3883
    @nooraizkhatib3883 หลายเดือนก่อน +1

    7:27 the property (a-b)²=a²-2ab+b² can b applied which would be less time consuming than to open the brackets

  • @penislandoof62
    @penislandoof62 3 ปีที่แล้ว +3

    This man is my savior

  • @issakeny2772
    @issakeny2772 10 หลายเดือนก่อน

    At 3:48 why is it equal to 0 and 4. Im pretty sure to get the 4, he used the zero product property and added a 4 to the negative four. Im confused about the 1

  • @venessapink511
    @venessapink511 8 หลายเดือนก่อน

    I love him. His explanation is amazing. Wish he was my math instructor.

  • @laurindapace7293
    @laurindapace7293 4 ปีที่แล้ว +6

    I was able to comprehend the lesson this morning!!!

  • @jas2150
    @jas2150 ปีที่แล้ว

    I didn't get the last equation of -20/9 in the substitutions; Square root of 5-20/9= 5/3? Anyone could explain, please?

  • @ophiliatetteh4750
    @ophiliatetteh4750 4 ปีที่แล้ว

    Why the negative before the 2 and the question doesn't contain that negative

  • @dagmwitmelkamu9470
    @dagmwitmelkamu9470 3 ปีที่แล้ว +2

    grade 9 math is really squeezing my head it is so tough i am trying to go one step ahead of the teacher but i am experiencing the worst time with math why math is sooooooo easy for geniuses but why hard for me , the only subject that makes me feel a little bit better about my self is chemistry

    • @nope5380
      @nope5380 3 ปีที่แล้ว +2

      Practice makes perfect.

  • @ant6671
    @ant6671 2 ปีที่แล้ว +2

    i will literally buy u another mic. thank you for these videos

  • @loganyashchyshyn9065
    @loganyashchyshyn9065 4 ปีที่แล้ว +1

    This is fantastic

  • @2ashta2enfsy73
    @2ashta2enfsy73 ปีที่แล้ว +2

    I love math alot thank u bro💕

  • @Mina-mj7wv
    @Mina-mj7wv ปีที่แล้ว +1

    I love you so muchhhhhhhhh you helped me alot bro god bless you ✨✨✨✨✨✨

  • @jaysonsegura8474
    @jaysonsegura8474 2 ปีที่แล้ว +1

    THANK YOU SO MUCH!!!

  • @amenu.7
    @amenu.7 6 หลายเดือนก่อน

    What is the app name

  • @ladonnataylor1438
    @ladonnataylor1438 6 ปีที่แล้ว +9

    This helped me a lot! Thanks for making things so clear. That last problem was a doozy!

  • @marylaw679
    @marylaw679 2 ปีที่แล้ว +2

    This guy is my super coach

  • @teddyazimachazimach1040
    @teddyazimachazimach1040 ปีที่แล้ว

    why we make minus one from3x plus 1

  • @ehstudios
    @ehstudios 4 หลายเดือนก่อน +1

    This has helped me to overcome my simplicity....

  • @ldrwiz_playzyt7830
    @ldrwiz_playzyt7830 6 หลายเดือนก่อน +1

    Y'know you're the best tutor

  • @r-bhesarmiento1372
    @r-bhesarmiento1372 2 ปีที่แล้ว

    You deserve a subscribe!!❤️

  • @PresidentHazra
    @PresidentHazra 2 ปีที่แล้ว +2

    this man saved my exam

  • @aivkhairulamirin9004
    @aivkhairulamirin9004 3 ปีที่แล้ว +3

    Thank you Sir

  • @jenellarabena6012
    @jenellarabena6012 5 ปีที่แล้ว +3

    What app did u use to edit this video?

  • @tonmakesvlogs6676
    @tonmakesvlogs6676 5 ปีที่แล้ว +44

    Very good because I can learn about it without my dad

    • @yoursleepparalysisdemon1828
      @yoursleepparalysisdemon1828 4 ปีที่แล้ว +3

      Ton Malakotara
      My dad would get mad and just be like "just do it without me"
      My mom would give up and say "idk just ask the teacher" and not care

    • @keypiggy_
      @keypiggy_ 3 ปีที่แล้ว +2

      i dont have a dad

  • @issakeny2772
    @issakeny2772 10 หลายเดือนก่อน +1

    Your video was good but you need to explain "why" you do things more often. I was left to correlate things I didn't understand. Nonetheless good video as always. Preciate it

  • @sekretomalupit1195
    @sekretomalupit1195 5 ปีที่แล้ว +5

    Thanks for teaching me you are the best

  • @axiaadvincula4562
    @axiaadvincula4562 5 หลายเดือนก่อน

    very helpful and useful, i like your voice

  • @sukhmandeepsingh7649
    @sukhmandeepsingh7649 2 ปีที่แล้ว

    Can’t you do all of this on desmos

  • @almightymemes7122
    @almightymemes7122 ปีที่แล้ว +3

    jesus man this is alot of math

  • @ryzazu2676
    @ryzazu2676 3 ปีที่แล้ว +4

    Salamat organic chemistry///labyu

  • @selftaught5278
    @selftaught5278 ปีที่แล้ว +2

    Why don't we get these kind of questions in exams 💔

  • @stay-1902
    @stay-1902 10 หลายเดือนก่อน

    can anyone please tell me what is he doing here in this moment 11:30

  • @kristopherkc2472
    @kristopherkc2472 3 ปีที่แล้ว +2

    awesome!! danke schön!

  • @L0CV5T
    @L0CV5T 4 ปีที่แล้ว

    Thanks bro.

  • @skyeshandes4670
    @skyeshandes4670 หลายเดือนก่อน

    Crazy how he can explain the whole thing simply in 17 minutes but my teacher can’t

  • @aribalonas6136
    @aribalonas6136 4 ปีที่แล้ว +4

    I just don't think its okay that some people made it a great idea to make different ways to go about the basics in different orders that could get different answers if you cant remember an order for so many different equations. I have no problem doing the shit when I am learning, but by the time I have to take a test, I am struggling to remember the steps because I have crammed so much shit in my brain.

    • @TPNE99995
      @TPNE99995 4 ปีที่แล้ว +1

      Honestly ....

  • @kingd9008
    @kingd9008 3 ปีที่แล้ว +2

    u teach me more than my teacher

  • @user-mx6gi8fy6j
    @user-mx6gi8fy6j 2 ปีที่แล้ว

    WHY CAN WE OMIT ABSOLUTE VALUE WHEN NEGATIVE TIMES NEGATIVE ALSO GIVES THE VALUE IN THE SQUARE ROOT