Elementary Algebra

Published by Cengage Learning

Chapter 9 - Roots and Radicals - 9.3 - More on Simplifying Radicals - Problem Set 9.3 - Page 412: 41

Answer

$\dfrac{3\sqrt{x}}{x}$

Work Step by Step

Using the properties of radicals, the given expression, $\dfrac{3}{\sqrt{x}} ,$ simplifies to \begin{array}{l}\require{cancel} \dfrac{3}{\sqrt{x}}\cdot\dfrac{\sqrt{x}}{\sqrt{x}} \\\\= \dfrac{3\sqrt{x}}{x} .\end{array} Note that all variables are assumed to represent positive real numbers.

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