Question

I am confused by this, pleas explain the answer but also how to do problems like these.

Answer 1

We want to simplify

`√(48n^5)`

This becomes

`\begin{gathered} √(48n^5) \\ =(48n^5)^{(1)/(5)} \\ =48^{(1)/(5)}* n^{5*(1)/(5)} \\ =48^{(1)/(5)}* n^{(5)/(5)} \\ =48^{(1)/(5)}n \\ =(\sqrt[5]{48})n \end{gathered}`

Hence the answer is

`(\sqrt[5]{48})n`