## Elementary Algebra

Published by Cengage Learning

# Chapter 9 - Roots and Radicals - 9.2 - Simplifying Radicals - Problem Set 9.2 - Page 406: 8

#### Answer

$3 \sqrt{10}$

#### Work Step by Step

In order to simplify a radical, we consider the factors of the number inside of the radical. If any of these factors are perfect squares, meaning that their square root is a whole number, then we can simplify the radical. We know that 9 and 10 are factors of 90. We know that 9 is a perfect square, so we simplify: $\sqrt{9} \sqrt{10}=3 \sqrt{10}$

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