Chapter 8.1, Problem 8WE

To determine

To Simplify: Simplify the given expression

Answer to Problem 8WE

The simplified form is $4\sqrt{28}=8\sqrt{7}$

Explanation of Solution

Given information: The given expression is $4\sqrt{28}$

We have the given expression is $4\sqrt{28}$

It can be further written as

  $\begin{array}{c}4\sqrt{28}=4\sqrt{2^2\times 7}\\ =4\times 2\sqrt{7}\\ =8\sqrt{7}\end{array}$

Since square root is positive quantity so we neglect negative sign.

Therefore, the simplified form is $4\sqrt{28}=8\sqrt{7}$