Chapter 11.1, Problem 57E

To determine

To express using radical.

Answer to Problem 57E

  $\sqrt[3]{p^2{q}^{\frac{3}{2}}r}$

Explanation of Solution

Given:

The given expression is $p^{\frac{2}{3}}{q}^{\frac{1}{2}}{r}^{\frac{1}{3}}$

Calculation:

Expressing the expression using radical as follows-

  $\begin{array}{l}{p}^{\frac{2}{3}}{q}^{\frac{1}{2}}{r}^{\frac{1}{3}}\\ =p^{\frac{2}{3}}{q}^{\frac{1}{3}\times \frac{3}{2}}{r}^{\frac{1}{3}}\\ =\sqrt[3]{p^2{q}^{\frac{3}{2}}r}\end{array}$