Question

2. Prove that 3√7 I s an irrational number.​

Answer 1

Answer:

LET US TAKE ON CONTRARY THAT 3√7 IS RATIONAL. WHEREAS RHS IS RATIONAL. THIS CONTRADICTION HAS ARISED DUE TO OUR WRONG ASSUMPTION IN BEGINNING. THEREFORE 3√7 IS AN IRRATIONAL NUMBER

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Answer 2

Step-by-step explanation:

Let 3√7 be rational.

3√7=p/q [where, p &q=Z and q not equal to 0]

√7=p/3q.

RHS is rational so, LHS is also rational.

But it contradicts the fact that √7 is irrational.

So, our assumption is wrong.

Therefore, 3√7 is irrational.