Chapter 8.1, Problem 7WE

To determine

The given expression

Answer to Problem 7WE

The simplified form is $9\sqrt{40}=18\sqrt{10}$ .

Explanation of Solution

Given information:

The given expression is $9\sqrt{40}$ .

The given expression is $9\sqrt{40}$

It can be further written as

  $\begin{array}{c}9\sqrt{40}=9\sqrt{2\times 2^2\times 5}\\ =9\times 2\sqrt{2\times 5}\\ =18\sqrt{10}\end{array}$

Since square root is positive quantity so neglecting negative sign.

Therefore, the simplified form is $9\sqrt{40}=18\sqrt{10}$