Chapter 7.5, Problem 11P

Write each expression in radical form.

${(36x)}^{\frac{1}{2}}$

To determine

To write the given expression in radical form.

Answer to Problem 11P

  ${\left(36x\right)}^{\frac{1}{2}}=6\sqrt{x}$

Explanation of Solution

Given:

  ${\left(36x\right)}^{\frac{1}{2}}$

Calculation:

The solution can be obtained as:

  $\begin{array}{l}{\left(36x\right)}^{\frac{1}{2}}={\left(36\right)}^{\frac{1}{2}}{\left(x\right)}^{\frac{1}{2}}\\ ={\left(6^2\right)}^{\frac{1}{2}}{\left(x\right)}^{\frac{1}{2}}\\ ={\left(6\right)}^{2\times \frac{1}{2}}\sqrt{x}\\ ={\left(6\right)}^1\sqrt{x}\\ =6\sqrt{x}\end{array}$