## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson

# Chapter 10 - Exponents and Radicals - 10.5 Expressions Containing Several Radical Terms - 10.5 Exercise Set: 28

#### Answer

$4\sqrt[]{y+3}$

#### Work Step by Step

Simplifying each term and then combining like terms, the given expression, $\sqrt[]{9y+27}+\sqrt[]{y+3} ,$ is equivalent to \begin{array}{l}\require{cancel} \sqrt[]{9(y+3)}+\sqrt[]{y+3} \\\\= \sqrt[]{(3)^2\cdot(y+3)}+\sqrt[]{y+3} \\\\= 3\sqrt[]{y+3}+\sqrt[]{y+3} \\\\= 4\sqrt[]{y+3} .\end{array} * Note that it is assumed that all variables represent positive numbers.

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