Given that v2 is irrational, prove that (+32) is an irational number. – InterviewSolution

1.

Given that v2 is irrational, prove that (+32) is an irational number.

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.

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