Question

Simplify.

$\sqrt{12}$

Short answer

The simplified form is $\sqrt{72}=6\sqrt{2}$.

Step-by-step solution

Step 1. Given information.

The given expression is $\sqrt{72}$

Step 2. It can be further written as below.

The given expression is $\sqrt{72}$

Then,

$\begin{array}{c}\sqrt{72}=\sqrt{2^2\times 3^2\times 2}\\ =2\times 3\sqrt{2}\\ =6\sqrt{2}\end{array}$

Step 3. Neglect negative sign.

Since, square root is positive quantity

Therefore, the simplified form is $\sqrt{72}=6\sqrt{2}$.