Proof by Contradiction | ExamSolutions

In this video, we go into depth with negation statements and learn how to do proof by contradiction using 4 simple steps that works every time.
PREDICTIVE GRADES PLATFORM
LEARN MORE AT: info.examsolutions.net/predic...
☑️ Accurate grade predictions
☑️ Personalised resources and tuition
☑️ Guaranteed results or get your money back
SIGN UP FOR A 7-DAY FREE TRIAL, THEN 20% OFF.
share-eu1.hsforms.com/1fDaMxd...
ONLINE COURSES AT:
www.itutor.examsolutions.net/...
THE BEST THANK YOU: www.examsolutions.net/donation/
TH-cam CHANNEL at / examsolutions
EXAMSOLUTIONS WEBSITE at www.examsolutions.net/ where you will have access to all playlists covering pure maths, statistics, and mechanics.
FACEBOOK PAGE: / examsolutions.net
FACEBOOK GROUP: / mathsrevision.examsolu...
NEW INSTAGRAM: / examsolutionsguy
TWITTER: / examsolutions

[@joshuafrancis5980]

Big up my guy. Finally been able to understand Proof by Contradiction after months of struggling with it. Will definitely be using the NACC method from now on. Cheers man, keep the vids coming!!!

[@gaara6732]

This has been do helpful!!!! You totally saved my college algebra grade. Keep up the great work

[@AshVentureOfficial]

Thank you, this is the video I was waiting for

[@jiaanaq3114]

This was so helpful !!!

[@HasnainAli-pw4se]

Thank you so much for this amazing explanation really appreciate it

[@tacheemmnanuel]

God bless you sir i am very grateful

[@donatusmkwaila8519]

Thanks ❤❤

[@muffinsissad8737]

6:33 thanks for the daily reminder

[@ExamSolutions_Maths]

Tall guy + Maths knowledge = Always get girls ;)

[@esha3274]

I have a question like why we are assuming a/b in it’s simplest form ?

[@souppp-nh7wf]

11:17 can someone please explain to me why if the square root of 2 is rational 2 = a/b many thanks

[@ExamSolutions_Maths]

That is because a rational number can be written as a fraction. If square root of 2 is a rational number, then we should be able to write the result as a fraction such as a/b where a and b are integers. If square root of 2 is irrational, then we wouldn't be able to write it as a fraction

[@hrperformance]

I thought this was a really good explanation. Great video 👌🏽
Can you please try to make the audio consistent and less "echoey"? It's not a big deal but would definitely make a positive difference! The audio was best for a couple of short periods at the beginning of the video.
The last proof was really cool but at the same time intimidating...left to my own devices, I don't think I would have been able to complete step 3.

[@ExamSolutions_Maths]

Thanks for the feedback J.J
Yes for step 3, you have to go along with logical calculations and make reasonable conclusions/deductions along the way.
This is where your understanding of numbers properties and working with numbers and algebraic expressions is very important.

[@aashsyed1277]

But why do we assume that a/b is in simplest form why not any form is it because that any fraction can be simplified ?

[@ExamSolutions_Maths]

Yes it's because any fraction can be simplified

[@bolatagane_tukss]

I was expecting an explanation after every move

[@ExamSolutions_Maths]

at what stage were you lost?

[@markmohammed1405]

The correct breakdown should of been. U square both sides and then multiply throughout by b²

[@memesforyou6943]

🥰🥰🥰🥰🥰🥰🥰🥰🥰🥰

[@faheemiqbal9665]

how are we proving n^2 and n both being even by assuming n to be odd and finding n^2 to be odd? disproving the assumption does not prove the original statement what so ever
the assumption was not matched either if we proved the assumption wrong then it would have made sense

[@galaxygamerpro3868]

because any odd number squared is odd
there is no even square which can have an odd square root
so the assumption is proved wrong
and so because the root (n) is not odd, it must be even

[@markmohammed1405]

b × Square root of 2 = b sqare root 2 . Not square root of 2b.

[@mandarkm]

there is no God " but God "
there is no God (statement)
but only one true God (negation)