Chapter 0.9, Problem 13E

To determine

To simplify the given expression

Answer to Problem 13E

  $\frac{p}{3}\sqrt{\frac{10p}{3}}$

Explanation of Solution

Given information:

  $\frac{\sqrt{10p^3}}{\sqrt{27}}$

Calculation:

Simplifying,

  $\frac{\sqrt{10\times p\times p\times p}}{\sqrt{3\times 3\times 3}}$

So,

  $\frac{p\sqrt{10p}}{3\sqrt{3}}$

On solving,

  $\frac{p}{3}\sqrt{\frac{10p}{3}}$