Chapter 8.1, Problem 9WE

To determine

To Simplify: Simplify the given expression

Answer to Problem 9WE

The simplified form is $\sqrt{30}.\sqrt{6}=6\sqrt{5}$

Explanation of Solution

Given information: The given expression is $\sqrt{30}.\sqrt{6}$

We have the given expression is $\sqrt{30}.\sqrt{6}$

It can be further written as

  $\begin{array}{c}\sqrt{30}.\sqrt{6}=\sqrt{30\times 6}\\ =\sqrt{5\times 6\times 6}\\ =\sqrt{5\times 6^2}\\ =6\sqrt{5}\end{array}$

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

Therefore, the simplified form is $\sqrt{30}.\sqrt{6}=6\sqrt{5}$