Chapter 8.1, Problem 12CE

To determine

To Simplify: Simplify the given expression

Answer to Problem 12CE

The simplified form is $\frac{\sqrt{5}}{\sqrt{2}}=\sqrt{\frac{5}{2}}$

Explanation of Solution

Given information: The given expression is $\frac{\sqrt{5}}{\sqrt{2}}$

We have the given expression is $\frac{\sqrt{5}}{\sqrt{2}}$

It can be further written as

  $\frac{\sqrt{5}}{\sqrt{2}}=\sqrt{\frac{5}{2}}$

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

Therefore, the simplified form is $\frac{\sqrt{5}}{\sqrt{2}}=\sqrt{\frac{5}{2}}$