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.