Question

Simplify.

$\sqrt{75}$

Short answer

The simplified form is $\sqrt{75}=5\sqrt{3}$.

Step-by-step solution

Step 1. Given information.

The given expression is $\sqrt{75}$.

Step 2. It can be further written as below.

The given expression is $\sqrt{75}$

Then,

$\begin{array}{c}\sqrt{75}=\sqrt{3\times 5^2}\\ =5\sqrt{3}\end{array}$

Step 3. Neglect negative sign.

Since, square root is positive quantity

Therefore, the simplified form is $\sqrt{75}=5\sqrt{3}$.