Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 6 - Radical Functions and Rational Exponents - 6-2 Multiplying and Dividing Radical Expressions - Practice and Problem-Solving Exercises - Page 372: 69

Answer

$4\text{ }g/cm^3$

Work Step by Step

Using $D=\dfrac{m}{V}$ or the formula for the density of an object, with $m=\sqrt{80}$ and $V=\sqrt{5},$ then \begin{align*}\require{cancel} D&=\dfrac{\sqrt{80}}{\sqrt{5}} \\\\&= \sqrt{\dfrac{80}{5}} &\left(\text{use }\dfrac{\sqrt[n]{x}}{\sqrt[n]{y}}=\sqrt[n]{\dfrac{x}{y}} \right) \\\\&= \sqrt{16} \\&= 4 .\end{align*} Hence, the density, $D,$ of the object is $ 4\text{ }g/cm^3 $.
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