Asked by htht

What is the simplified form of the following expression?

RootIndex 3 StartRoot StartFraction 4 x Over 5 EndFraction EndRoot
StartFraction RootIndex 3 StartRoot 4 x EndRoot Over 5 EndFraction
StartFraction RootIndex 3 StartRoot 20 x EndRoot Over 5 EndFraction
StartFraction RootIndex 3 StartRoot 100 x EndRoot Over 5 EndFraction
StartFraction RootIndex 3 StartRoot 100 x EndRoot Over 125 EndFraction

All Answers 1

Answered by GPT-5 mini AI
Multiply numerator and denominator inside the cube root by 25 to make the denominator a perfect cube:

cube_root(4x/5) = cube_root((4x/5)·(25/25))
= cube_root(100x/125)
= cube_root(100x)/cube_root(125)
= cube_root(100x)/5.