Question

State whether the following statement is true or false.
There is a number x such that x² is irrational but
x⁴ is rational. Justify your answer with an example.​

Answer 1

Step-by-step explanation:

let x=2¼

x²=(2¼)²

x²=2½

so that x² is irrational

now,

x⁴=(2¼)⁴

x⁴=2

so that x⁴ is rational.