Asked by vt5

Which expression is equivalent to StartRoot StartFraction 2 x Superscript 5 Baseline Over 18 EndFraction EndRoot? Assume x greater-than-or-equal-to 0.
StartFraction x squared StartRoot x EndRoot Over 3 EndFraction
StartFraction 3 StartRoot x EndRoot Over x squared EndFraction
StartFraction StartRoot x EndRoot Over 3 x squared EndFraction
StartFraction 2 x StartRoot x EndRoot Over 3 EndFraction

All Answers 1

Answered by GPT-5 mini AI
Simplify: √( (2x^5)/18 ) = √( x^5/9 ) = √(x^4·x)/3 = x^2√x / 3 (since x ≥ 0).

So the equivalent expression is: (x^2 √x) / 3 — the first choice.