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Prove that √2 is a irrational number

Wtf so complicated?
Rational: √2 = a/b

√2 = a/b
2*b*b = a*a

The amount of 2's on left\right side of the equation will always be odd.

(i.e. if a dividable by 2, substitute a = 2*c, equation changes to 2*b*b = 2*2*c*c, changes to b*b = 2*c*c, we back at the start)

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