Question

Prove that 7/5√2 is not a rational number given that √2 is irrational

Answer 1

Given: √2 is irrational number

To Prove : 7/5√2 is irrational

Proof:

We know that ,

any operation carried with an irrational number is always irrational.

So here,

7/5 is multiplied with √2

Since √2 is an irrational number as given in the questions

Therefore 7/5 is multiplied with an irrational number and the result is irrational number.

Hope it helps.