Question

What is the simplified form of the following expression 7(^3√2x)-3(^3√16x)-3(^3√8x)

A) -5(^3√2x

B)5(^3√x

C) ^3√2x-6(^3√x

D) -(^3√2x)-6(3√x)

Answer 1

Given expression:
`7\sqrt[3]{2x}-3\sqrt[3]{16x}-3\sqrt[3]{8x}`

`7\sqrt[3]{2x}=7\sqrt[3]{2}\sqrt[3]{x}`

`3\sqrt[3]{16x}=6\sqrt[3]{2}\sqrt[3]{x}`

`3\sqrt[3]{8x}=6\sqrt[3]{x}`

`=7\sqrt[3]{2}\sqrt[3]{x}-6\sqrt[3]{2}\sqrt[3]{x}-6\sqrt[3]{x}`

`=7\sqrt[3]{2x}-6\sqrt[3]{2x}-6\sqrt[3]{x}`

`\mathrm{Add\:similar\:elements:}`

`=\sqrt[3]{2x}-6\sqrt[3]{x}`

Therefore, correct option is C)
`\sqrt[3]{2x}-6\sqrt[3]{x}`.