Q. 60 - Intermediate Algebra

Question

In the following exercises, use the Product Property to simplify radical expressions $\sqrt{450}$

Step-by-Step Solution

Answer

The simplified form is $15\sqrt{2}$

Step 1: Given information

Given the expression $\sqrt{450}$

Step 2: Using the product property to simplify

Using the property, we get

$$\begin{gathered} \sqrt{450}=\sqrt{{15}^2·2} \\ \sqrt{450}=\sqrt{{15}^2}·\sqrt{2} \\ \sqrt{450}={15}^{\frac{2}{2}}·\sqrt{2} \\ \sqrt{450}=15\sqrt{2} \end{gathered}$$