Q. 56 - Intermediate Algebra

Question

In the following exercises, use the Product Property to simplify radical expression $\sqrt{80}.$

Step-by-Step Solution

Answer

The radical expression in simplified form is $4\sqrt{5}.$

Step 1. Given Information

The given expression is $\sqrt{80}.$

We have to use the Product Property to simplify the radical expression.

Step 2. Use the product rule to rewrite the radical as the product of two radicals

By using the rule we get,

$\sqrt{16}·\sqrt{5}$

Step 3. Simplify the root of the perfect power

By simplifying we get,

$$\begin{gathered} \sqrt{16}·\sqrt{5} \\ =4\sqrt{5} \end{gathered}$$