Question

Simplify:$\sqrt{\frac{96p^9}{6p}\hspace{0.17em}}$

Short answer

The required answer is$4p^4$.

Step-by-step solution

Step 1. Given information. 

The given square root is$\sqrt{\frac{96p^9}{6p}}$.

Step 2. Simplify the given root.  

$$\begin{gathered} \sqrt{\frac{96p^9}{6p}} \\ =\sqrt{16p^8} \end{gathered}$$

Apply radical rule.

$$\begin{gathered} \sqrt{16}\sqrt{p^8} \\ =4\sqrt{p^8} \\ =4p^4 \end{gathered}$$