Chapter 8.1, Problem 14WE

To determine

The given expression

Answer to Problem 14WE

The simplified form is $\frac{24}{3\sqrt{2}}=4\sqrt{2}$

Explanation of Solution

Given information:

The given expression is $\frac{24}{3\sqrt{2}}$

The given expression is $\frac{24}{3\sqrt{2}}$

It can be further written as

  $\begin{array}{c}\frac{24}{3\sqrt{2}}=\frac{3\times 4\times 2}{3\sqrt{2}}\\ =\frac{4{\left(\sqrt{2}\right)}^2}{\sqrt{2}}\\ =4\sqrt{2}\end{array}$

Since square root is positive quantity so neglecting negative sign.

Therefore, the simplified form is $\frac{24}{3\sqrt{2}}=4\sqrt{2}$