Chapter 8.1, Problem 9CE

To determine

To Simplify: Simplify the given expression

Answer to Problem 9CE

The simplified form is $\sqrt{288}=12\sqrt{2}$

Explanation of Solution

Given information: The given expression is $\sqrt{288}$

We have the given expression is $\sqrt{288}$

It can be further written as

  $\begin{array}{c}\sqrt{288}=\sqrt{2\times 12\times 12}\\ =\sqrt{2\times {12}^2}\\ =12\sqrt{2}\end{array}$

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

Therefore, the simplified form is $\sqrt{288}=12\sqrt{2}$