Question

Give an example of a number x such that x² is irrational but x² is rational.

Answer 1

Give an example of a number x such that x³ is irrational but x² is rational.

solution:

let's take x = √3

so, x² = (√3)² = 3 which is rational number

then, x³ = (√3)³ = 3√3 which is irrational number