Chapter 8.1, Problem 5WE

To determine

The given expression.

Answer to Problem 5WE

The simplified form is $\sqrt{800}$ .

Explanation of Solution

Given information:

The given expression is $\sqrt{800}$ .

The given expression is $\sqrt{800}=20\sqrt{2}$ .

It can be further written as

  $\begin{array}{c}\sqrt{800}=\sqrt{2^5\times 5^2}\\ =2^2\times 5\sqrt{2}\\ =4\times 5\sqrt{2}\\ =20\sqrt{2}\end{array}$

Since square root is positive quantity so neglecting negative sign.

Therefore, the simplified form is $\sqrt{800}=20\sqrt{2}$