Simplify the expression.2 \sqrt[6]{3} + 7 \sqrt[6]{3}

Question

Simplify the expression.
`2 \sqrt[6]{3} + 7 \sqrt[6]{3}`

Answer 1

The given expression is

`2\sqrt[6]{3}\text{ + 7}\sqrt[6]{3}`

Both terms have the 6th root of 3. Since it is common with both terms, we would factorise. It becomes

`\begin{gathered} \sqrt[6]{3}(2\text{ + 7)} \\ =\text{ }\sqrt[6]{3}\text{ (9)} \\ =\text{ 9}\sqrt[6]{3} \end{gathered}`