Question

Is there a number a such that a^2 is irrational but a^4 is rational?

Answer 1

\[\sqrt[4]{2}\]

Answer 2

wow thats exactly what i thought too

Answer 3

Really good answer!

Answer 4

but how we prove it?

Answer 5

here we dont need to prove, they just asked a number

Answer 6

\[\sqrt[4]{2k+1}\]

Answer 7

I dont think that makes sense

Answer 8

Won't any number N that is NOT a perfect square work?

4th root of N to the power 4 = N

4th root of N to the power 2 = sqrt N