Prove that root 2 is irrational!
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Prove that root 2 is irrational!
Let us assume to the contrary that √2 is rational, so, √2=a/b (a,b are Coprimes and b not equal to 0). Squaring on both the sides we get:- 2a*a=b*b (1.) Since b*b or b square is divisible by 2 so b is also divisible by 2. So for some number c, we have:- b=2c Squaring again on both sides we get:- b*b=4c*c (2.) Now using equations (1.) and (2 ...
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