Chapter 10.2, Problem 7P

Simplify each radical expression.

$\sqrt{63t^4}$

To determine

To simplify the radical expression.

Answer to Problem 7P

The simplified expression is $3t^2\sqrt{7}$ .

Explanation of Solution

Given information:

The radical expression is:

  $\sqrt{63t^4}$

Calculation :

The expression can be simplified by:

$\begin{array}{l}\sqrt{63t^4}\\ =\sqrt{3\times 3\times 7\times t^2\times t^2}\left(\text{Write the factors}\right)\\ =3t^2\sqrt{7}\end{array}$

Hence, the simplified expression is $3t^2\sqrt{7}$ .