Question

3. Prove that the following are irrationals:
(i) 7/root5

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Answer 1

Here Is Your Ans

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Let , 7 / √5 Is an rational number

7 / √5 = A / B

7√5 / 5 = A / B

√5 = 5A / 7B

Irrational = Rational

So Our assumptions is Incorrect

7 / √5 is an irrational number

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Answer 2

Answer:

let 7√5 be rational no.

7√5=p/q

√5=p/7p

it is clear that p/7q is rational no.

so √5 also become rational no. but as be know that √5 is nat rational no.

our assumption is wrong so it proof that 7√5 is irrational no.