Chapter 7.4, Problem 8CYU

To determine

To simplify the given expression $\sqrt{88m^3{p}^2{r}^5}$ .

Answer to Problem 8CYU

  $2mp{r}^2\sqrt{22mr}$

Explanation of Solution

Given: $\sqrt{88m^3{p}^2{r}^5}$

Calculation:

  $\begin{array}{l}=\sqrt{88m^3{p}^2{r}^5}\\ =\sqrt{2\times 2\times 2\times 11\times m^2\times m\times p^2\times r^2\times r^2\times r}\\ =\sqrt{2^2\times 2\times 11\times m^2\times m\times p^2\times {\left(r^2\right)}^2\times r}\\ =2\times m\times p\times r^2\times \sqrt{2\times 11\times m\times r}\\ =2mp{r}^2\sqrt{22mr}\end{array}$

Thus, obtained form is the simplified form of the given expression.