Chapter 8.1, Problem 8CE

To determine

The given expression

Answer to Problem 8CE

The simplified form is $7\sqrt{63}=21\sqrt{3}$ .

Explanation of Solution

Given information:

The given expression is $7\sqrt{63}$ .

The given expression is $7\sqrt{63}$ .

It can be further written as

  $\begin{array}{c}7\sqrt{63}=7\sqrt{3^2\times 7}\\ =7\times 3\sqrt{7}\\ =21\sqrt{7}\end{array}$

Since square root is positive quantity so neglecting negative sign.

Therefore, the simplified form is $7\sqrt{63}=21\sqrt{3}$