Chapter 8.1, Problem 13WE

To determine

To Simplify: Simplify the given expression

Answer to Problem 13WE

The simplified form is $\frac{18}{\sqrt{3}}=6\sqrt{3}$

Explanation of Solution

Given information: The given expression is $\frac{18}{\sqrt{3}}$

We have the given expression is $\frac{18}{\sqrt{3}}$

It can be further written as

  $\begin{array}{c}\frac{18}{\sqrt{3}}=\frac{18}{\sqrt{3}}\times \frac{\sqrt{3}}{\sqrt{3}}\\ =\frac{18\sqrt{3}}{3}\\ =6\sqrt{3}\end{array}$

Since square root is positive quantity so we neglect negative sign.

Therefore, the simplified form is $\frac{18}{\sqrt{3}}=6\sqrt{3}$