One of the most important and exam oriented question from real numbers in which we have given a number 3√7 and it is already asked in various examinations and we have been asked to prove that the given number is a irrational number.

Kindly solve the above problem in detail

RS Aggarwal, Class 10, chapter 1D, question no 3(vi)

## 3√7

let us assume that 3√7 is rational.

as we know, product of two rational numbers is rational.

but √7 is irrational , which is contradictory to our assumption.

SO 3√7 is irrational.