Chapter 10.2, Problem 2P

Simplify each radical expression.

$\sqrt{200}$

To determine

To simplify the radical expression.

Answer to Problem 2P

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

Explanation of Solution

Given information:

The radical expression is:

  $\sqrt{200}$

Calculation :

The expression can be simplified by:

$\begin{array}{l}\sqrt{200}\\ =\sqrt{2\times 10\times 10}\left(\text{Write the factors}\right)\\ =10\sqrt{2}\end{array}$

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