Perform the indicated operation. Assume all variables are positive.3 \sqrt[5]{x} + 9 \sqrt[5]{x}

Question

Perform the indicated operation. Assume all variables are positive.
`3 \sqrt[5]{x} + 9 \sqrt[5]{x}`

Answer 1

`3\sqrt[5]{x}+9\sqrt[5]{x}`

write the radicals as a power

`3\cdot x^{(1)/(5)}+9\cdot x^{(1)/(5)}`

factor the common term

`\begin{gathered} x^{(1)/(5)}\cdot(3+9) \\ 12\cdot x^{(1)/(5)} \\ \text{write as a radical} \\ 12\sqrt[5]{x} \end{gathered}`