## Algebra 1: Common Core (15th Edition)

Published by Prentice Hall

# Chapter 10 - Radical Expressions and Equations - 10-2 Simplifying Radicals - Lesson Check: 4

#### Answer

$\frac{\sqrt 15}{x}$

#### Work Step by Step

Rationalize the denominator by multiplying $\sqrt x^3$ to the numerator and denominator. $\frac{\sqrt 15x}{\sqrt x^3}\times\frac{\sqrt x^3}{\sqrt x^3}$ Simplify $\frac{\sqrt 15x^4}{x^3}$ $\frac{x^2\sqrt 15}{x^3}$ $\frac{\sqrt 15}{x}$ Answer: $\frac{\sqrt 15}{x}$

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