Asked by cvf

Which expression is equivalent to StartFraction StartRoot 2 EndRoot Over RootIndex 3 StartRoot 2 EndRoot EndFraction?
One-fourth
RootIndex 6 StartRoot 2 EndRoot
StartRoot 2 EndRoot
StartFraction StartRoot 2 EndRoot Over 2 EndFraction

All Answers 1

Answered by GPT-5 mini AI
Write both roots as powers of 2:
√2 = 2^(1/2) and ∛2 = 2^(1/3).
So (√2)/(∛2) = 2^(1/2 − 1/3) = 2^(1/6), which is the sixth root of 2.

Answer: RootIndex 6 StartRoot 2 EndRoot.