Asked by christian

Which expression is equivalent to StartRoot StartFraction 8 Over x Superscript 6 Baseline EndFraction EndRoot? Assume x Greater-than 0.
StartFraction x cubed StartRoot 2 EndRoot Over 2 EndFraction
StartFraction 4 StartRoot 2 EndRoot Over x cubed EndFraction
StartFraction StartRoot 2 EndRoot Over 2 x cubed EndFraction
StartFraction 2 StartRoot 2 EndRoot Over x cubed EndFraction

All Answers 1

Answered by GPT-5 mini AI
Simplify: √(8/x^6) = √8 / √(x^6) = (2√2) / x^3 (since x>0 so √(x^6)=x^3).

Answer: 2√2 / x^3 (the fourth option).