Question

Simplify.

$\frac{18}{\sqrt{3}}$

Short answer

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

Step-by-step solution

Step 1. Given information.

The given expression is $\frac{18}{\sqrt{3}}$.

Step 2. It can be further written as below.

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

Then,

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

Step 3. Neglect negative sign.

Since, square root is positive quantity

So, neglecting negative sign.

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