Chapter 10.2, Problem 30P

Simplify each radical expression.

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

To determine

To simplify the radical expression.

Answer to Problem 30P

The simplified expression is $\frac{\sqrt{10}}{2}$ .

Explanation of Solution

Given information:

The given expression is:

  $\frac{\sqrt{5}}{\sqrt{2}}$

Calculation :

The expression can be simplified by:

$\begin{array}{l}\frac{\sqrt{5}}{\sqrt{2}}\\ =\frac{\sqrt{5}}{\sqrt{2}}\times \frac{\sqrt{2}}{\sqrt{2}}\\ =\frac{\sqrt{10}}{2}\end{array}$

Hence, the simplified expression is $\frac{\sqrt{10}}{2}$ .