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

$3\cdot x^{\frac{1}{5}}+9\cdot x^{\frac{1}{5}}$

factor the common term

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