Question

I tried looking up the answer on here but i cant find anything.

Answer 1

Given:

`7(\sqrt[3]{2x})-3(\sqrt[3]{16x})-3(\sqrt[3]{8x})`

Simplify the expression,

`\begin{gathered} 7\mleft(\sqrt[3]{2x}\mright)-3\mleft(\sqrt[3]{16x}\mright)-3\mleft(\sqrt[3]{8x}\mright) \\ =7\mleft(\sqrt[3]{2x}\mright)-3\mleft(\sqrt[3]{2\cdot2^3x}\mright)-3\mleft(\sqrt[3]{2^3x}\mright) \\ We\text{ know that, }\sqrt[3]{2^3}=2 \\ =7(\sqrt[3]{2x})-3\cdot2(\sqrt[3]{2x})-3\cdot2(\sqrt[3]{x}) \\ =7(\sqrt[3]{2x})-6(\sqrt[3]{2x})-6(\sqrt[3]{x}) \\ =\sqrt[3]{2x}-6\sqrt[3]{x} \end{gathered}`

Answer: opti