Proof that Square Root of Two is Irrational [Rare Constructive Proof] (YouTube Video)

This is my second ever YouTube Video, and it is about a rarely seen proof (Constructive) that Square Root of Two is irrational.

The video is based on my earlier post on: Constructive Proof that Square Root of Two is irrational

Thanks for watching! Please speed up the video according to your preference! You can speed up either 2x or 1.5x for best effect.


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Factorize a^3-b^3 (O Level Math Tuition Question)

https://www.youtube.com/watch?v=buhghuawde0

This is my first video on YouTube! 🙂

Please subscribe to my channel for more Math Videos coming in the future!


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Singapore Maths Tuition

$latex (a-b)^3=a^3-3a^2b+3ab^2-b^3$

So,
$latex
begin{array}{rcl}
a^3-b^3&=&(a-b)^3+3a^2b-3ab^2
&=&(a-b)(a-b)^2+3a^2b-3ab^2
&=&(a-b)(a^2-2ab+b^2)+(a-b)(3ab)
&=&(a-b)(a^2+ab+b^2)
end{array}
$

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