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Questionamber 712y 2 lilQ7 Given that V2 is irrational, prove that (S +32) is an irvätioumiเว

Answer»

Given:root2 is irrationalNow,let us assume that 5 +3root2 is rationalSo,5+3root2 = a/b3root2 = a/b-5 =a-5b/bRoot2 = a-5b/3b

But we know that root2 is irrationalSo, our assumption was wrong.Hence 5+3root2 is irrational.

Hence proved



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