## Intermediate Algebra (12th Edition)

Published by Pearson

# Chapter 7 - Section 7.3 - Simplifying Radicals, the Distance Formula, and Circles - 7.3 Exercises - Page 459: 5

Choice D

#### Work Step by Step

Simplifying the expression, $\dfrac{\sqrt{4}}{\sqrt{16}}$ (Choice D), results to \begin{align*} & \dfrac{2}{4} \\\\&= \dfrac{1}{2} .\end{align*} Since $\dfrac{1}{2}\ne\sqrt{\dfrac{1}{2}}$, then the expression that is not equal to $\sqrt{\dfrac{1}{2}}$ is Choice D.

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