Question

Simplify the cube root in simplest radical form.
9x374
Please help

Answer 1

D.
`xy\sqrt[3]{9y}`

Explanation:

`\sqrt[3]{9x^3y^4}`

`\sqrt[3]{9}\sqrt[3]{x^3}\sqrt[3]{y^4}`

The
`\sqrt[3]{x^3}` cancels out to become x:

`\sqrt[3]{9}x\sqrt[3]{y^4}`

Split the
`y^4=y*y^3`

`\sqrt[3]{9}x\sqrt[3]{y^3}\sqrt[3]{y^1}`

`\sqrt[3]{y^3} =y`

`xy\sqrt[3]{9} \sqrt[3]{y}`

Put the cube root of y and cube root of 9 together:

`xy\sqrt[3]{9y}`