Question

What is the simplified form of the following expression?
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Answer 1

`\frac{\sqrt[3]{100x}}{5}`

Explanation:

we have

`\sqrt[3]{(4x)/(5)}`

Multiply inside by
`(25)/(25)`

so

`\sqrt[3]{(4x*25)/(5*25)}`

`\sqrt[3]{(100x)/(125)}`

Remember that

`\sqrt[3]{125}=5`

substitute

`\sqrt[3]{(100x)/(125)}=\frac{\sqrt[3]{100x}}{\sqrt[3]{125}}=\frac{\sqrt[3]{100x}}{5}`