Q. 596 - Intermediate Algebra

Question

In the following exercises, simplify. Assume all variables are positive.

$\sqrt{-4}.\sqrt{-9}$

Step-by-Step Solution

Answer

The solution of $\sqrt{-4}.\sqrt{-9}$ is $-6.$

Step 1. Given Information

We have $\sqrt{-4}.\sqrt{-9}$ 

Step 2. Simplify the expression by using property of imaginary number

$$\begin{gathered} \sqrt{-4}.\sqrt{-9} \\ =2\sqrt{-1}.3\sqrt{-1} \\ =2\times 3\times i\times i \\ =6i^2=-6 \end{gathered}$$