HSC Maths Ext2 - Complex Numbers - Finding Square Roots of Complex Numbers

Welcome to my HSC 4 Unit maths: Complex Numbers series. In this video, we see how to find the square roots of complex numbers, which will be useful for solving quadratics with complex coefficients.

[@henabegum2584]

This was probably the most helpful video i’ve watched. Easy to understand and straight to the point. Thank you so much.

[@yogeshpavithiran2932]

This is the first video I watched that is related to finding the square root of complex number and I fell so confident and this was so helpful.
"THANK YOU SO MUCH SIR".

[@harshrai6259]

sir the video was very helpful please keep posting

[@mariiachernii1606]

Thank you so much! You've helped me a lot in understanding the thing. Covering further maths sometimes can be a little tricky, but thanks to you now I got it. Many thanks!❤

[@lachlanmalcolm9867]

I was 8 when this video came out and now it has saved me a lot of trouble. Thanks heaps

[@chaoticyatan7115]

You are good at explaining..... Tnx🤗

[@nirmalsyangtan1891]

Gonna help in tommorow exam..that i'm going take!!

[@hajimrasheed7906]

Why you took only x^2-9^2 term after Factorization?

[@naian6167]

dope vid, cheers!

[@os9458]

THANK YOU BRO ,,,THE MOSQUITO THO HAHA QUITE FUNNY NICE BRO

[@shamsudinabdi1288]

Thank you sir your video helping me. And you explain clearly

[@yusufsumtallee7374]

Thank you! Saving four marks because of you!

[@salmonsushi47]

Props to the fly for makin it into the video

[@nisaalia7946]

Thank you very much...this video was very helpful for my study

[@MathemaEducation]

Glad it was helpful!

[@rubisoni9453]

Ty.. It is very helpful for me

[@MrM-ln9cy]

Better than the eg in my math book

[@raihanrafeek6576]

Thank You So much!!!

[@gingerobread7106]

Thankyou very much!

[@glennrickelton4093]

Excellent explanation

[@user123SSL]

Thank you very much

[@ShivamKumar-hs1et]

Nice explanation sir 😀😀😊😊

[@ProfeJulianMacias]

Great Math Problem

[@davisnganga6266]

Perfectly done

[@ainapotter4979]

thank you really helpfull

[@pranavprabhu3239]

Very Helpful video

[@skubywistle5128]

Nice explanation

[@joshackerman8861]

Sir, I have my final tomorrow and you just saved my a$$

[@muhammadehsanullah]

Very Nice!

[@rabeccamutheu2120]

This is so helpful thank you

[@IShowAsutoro]

... this video was uploaded 9 years ago... I just hope that the mosquito is still alive 💓💓💞💞

[@jokes1590]

i did it.
thank you

[@aratimohapatra4945]

Thnxx sir..

[@bhanitadeka2340]

Thank you

[@vrindayadav]

I wanted to ask that we had our no. In simple form then why did we took root of that no in step 1

[@ranveerkumar7681]

z is the required thing . ie root of that's

[@Erenilda.]

❤️❤️

[@kangwachewe697]

You've made sense

[@ivojr72]

You can also use the general formula for the square root of a complex number:
th-cam.com/video/CeVdh5LH908/w-d-xo.html

[@ImranAnsari-jy6ru]

Very nice helpful vedio

[@parasvashist4340]

Thanks bro

[@trkingdavid4943]

well explained

[@alghaithalghaithi7328]

Thanks

[@nandagopan_nm]

very helpful

[@roycaptain2487]

After an hour I will be in my examination hall and now I am seeing this😅😂

[@IShowAsutoro]

... the mosquito loves Calculus 💝💝

[@hersvrr7166]

i got it!!!! 💖💖💖

[@ahmednuurabdulahi644]

Keep going

[@baileycrocker5898]

thanks bro

[@anjalirai7692]

Tq soo much

[@chethann144]

Thank you for your support💪

[@OriginalSuschi]

Why don't we look at the Complex solutions xD We started with a complex number anyway lol (although if we'd do this our result of + or - (3+2i) is the solution for both cases (x^2)-9=0 and (x^2)+4=0

[@bollywoodpie4767]

How i square is -1 sir can u explain this

[@shaaminbwoy7363]

Hey man why did you say 4 would not be a real number but -9 would?

[@SilentKiller-yn4jo]

When -9 is brought to the other side of the equation, it becomes+9. +4 becomes -4. The square root of -4 is under root 4i which is again a complex number. But here x is real....so

[@brokenyt2951]

I got it 😌😌

[@malakopial2145]

Do you really understand it?

[@adetoyevictor270]

God bless

[@ngoikuanbing4585]

The complex numbers not conjugate to each other ?

[@ranveerkumar7681]

it has opposite sign no need of conjugate

[@bluebacon1169]

is this high school level math or collage level math in the states?

[@winstonacousticstudio445]

it's high school level, hsc is the exam new south wale uses for uni entrance

[@rohitrajvanshi9968]

Awesome sir

[@zdiaries9035]

why does x=+/- 3? why not +/- 2?

[@MidnightDream02]

Because it can't be √-4

[@Aditya84x]

Because x is real part of z and √-4 = 2i

[@gatlatwal8499]

Please help me calculate this
Given that (√3-i) is a square root of the equation Z^9+16(1+i)z^3+a+ib=0
What is the value of a and b?

[@joshuamatias6616]

a=5, b=23

[@ourmathnotes]

Polar form of complex number new video please.

[@amarkumarakela1055]

trick sort nahi hai sir

[@catilinwatson2602]

why you didnt took( x^2-4=0)

[@SilentKiller-yn4jo]

It is x^2 + 4=0 not minus. We wouldve considered it if it was x^2-4=0

[@Mathematica1729]

Catilin Watson because we have to find the factors of -36 not +36

[@entertainment_shorts_0502]

Thanks I

[@iosuegea9607]

Why did not you solve for (x^2+4)?

[@MathemaEducation]

When we solve (x^2+4)=0 , we get x=2i and x=-2i. BUT x has to be a real number, so we don't take those cases.

[@dylansimpson2322]

@@MathemaEducation why do we get 2i? How do I know which bracket gives an imaginary number?

[@memesix5440]

@@dylansimpson2322 the one with the negative number should give you the imaginary number. Since we know that square roots of negative numbers cant be real, it must be imaginary.

[@incodewetrust8862]

why you didn't take 6 and -6 instead of 4 and -9??

[@MathemaEducation]

Because -6 and 6 don't add to give -5, but -9 and 4 do.

[@savitasingh467]

What A foolish question this is the question for those students who are in class 7th or below

[@calebsmith9062]

@@savitasingh467 u dont have to be rude mr perfect
If only you are wise
Why should you insult the other
Tssswwwwwwww

[@tariodola934]

Mathematics

[@ankitkeer4597]

Hey sir solve this problem problem 2(1-squareroot of 3 I)

[@jashanpreet4038]

U r foreigner? Not Indiana

[@samaybhattacharyya1118]

There isn't mosquitoes in India only! Haha

[@jayus8525]

When your question is 5-12i...

[@i_am_great6344]

say proper 😈

[@38U-want-it69.]

مـنو عرآقي🙂😂😂😂😂😂

[@sirofsxl6179]

احم

[@vidit3273]

Video is helpful but video is not clear🙏🚩🇮🇳

[@omjha6799]

The actual answer is +{3+4i}
-{3+4i}

[@MathemaEducation]

Trying squaring your answers and see if you get 5+12i

[@Chosen-zx8xe]

Thank you very much