## Intermediate Algebra for College Students (7th Edition)

Published by Pearson

# Chapter 11 - Cumulative Review Exercises - Page 872: 18

#### Answer

The answer is $2\sqrt 5+2\sqrt 2$.

#### Work Step by Step

The given expression is s $\frac{6}{\sqrt 5-\sqrt 2}$ Rationalize the given expression by dividing and multiplying $\sqrt 5+\sqrt 2$. $\frac{6}{\sqrt 5-\sqrt 2}\cdot \frac{\sqrt 5+\sqrt 2}{\sqrt 5+\sqrt 2}$ By using algebraic formula. $\frac{6\sqrt 5+6\sqrt 2}{5-2}$ $\frac{6\sqrt 5+6\sqrt 2}{3}$ Simplify. $2\sqrt 5+2\sqrt 2$.

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