Question

Simplify.

$\sqrt{\frac{9}{5}}$

Short answer

The simplified form is $\sqrt{\frac{9}{5}}=\frac{3}{\sqrt{5}}$.

Step-by-step solution

Step 1. Given information.

The given expression is $\sqrt{\frac{9}{5}}$

Step 2. It can be further written as below.

The given expression is $\sqrt{\frac{9}{5}}$

Then,

$\begin{array}{c}\sqrt{\frac{9}{5}}=\sqrt{\frac{3^2}{5}}\\ =\frac{3}{\sqrt{5}}\end{array}$

Step 3. Neglect negative sign.

Since, square root is positive quantity

So, neglecting negative sign.

Therefore, the simplified form is $\sqrt{\frac{9}{5}}=\frac{3}{\sqrt{5}}$.