Chapter PFE, Problem 1PFE

To determine

The simplified form of given expression.

Answer to Problem 1PFE

Solution:

The simplified form of given expression is $6\sqrt{6}$.

Explanation of Solution

Given:

The expression is $\sqrt{216}$.

Calculation:

To simplify the given expression factor the number 216.

$\begin{array}{c}\sqrt{216}=\sqrt{6\times 6\times 6}\\ =\sqrt{6^2\times 6}\\ =6\sqrt{6}\end{array}$

Final statement:

Therefore, the simplified form of expression is $6\sqrt{6}$.