Question

There is a number x such that x2 is irrational but x4 is rational.T/F

Answer 1

Answer:

There are infinite such numbers. I’ll give you one: let  x=2–√4 . Then  x2=22−−√4=4–√4=2–√ , which is an irrational number, and  x4=24−−√4=2 , which is rational .

$\sqrt{2}$= irrational number

$\sqrt{4}$ = $2^{2}$= 2 = Rational number

Answer 2

Answer:

$4 \sqrt{2}$