Question

Simplify.

$\sqrt{\frac{3}{7}}$

Short answer

The simplified form is $\sqrt{\frac{3}{7}}=\frac{\sqrt{21}}{7}$.

Step-by-step solution

Step 1. Given information.

The given expression is $\sqrt{\frac{3}{7}}$

Step 2. It can be further written as below.

The given expression is $\sqrt{\frac{3}{7}}$.

Then,

$\begin{array}{c}\sqrt{\frac{3}{7}}=\sqrt{\frac{3}{7}\times \frac{7}{7}}\\ =\sqrt{\frac{21}{7^2}}\\ =\frac{\sqrt{21}}{7}\end{array}$

Step 3. Neglect negative sign.

Since, square root is positive quantity.

Therefore, the simplified form is $\sqrt{\frac{3}{7}}=\frac{\sqrt{21}}{7}$.