Chapter 8.1, Problem 11WE

To determine

To Simplify: Simplify the given expression

Answer to Problem 11WE

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

Explanation of Solution

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

We have the given expression is $\sqrt{\frac{3}{7}}$

It can be further written as

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

Since square root is positive quantity so we neglect negative sign.

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