Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 5 - Chapters R-5 - Cumulative Review Exercises - Page 363: 4



Work Step by Step

$\bf{\text{Solution Outline:}}$ Substitute the given value of the variables and then use the order of operations (PEMDAS - Parenthesis, Exponents, Multiplication/Division, Addition/Subtraction) to evaluate the given expression, $ \dfrac{\sqrt{r}}{-p+2q} .$ $\bf{\text{Solution Details:}}$ Substituting $p=-4,q=-2,$ and $r=5,$ the given expression evaluates to \begin{array}{l}\require{cancel} \dfrac{\sqrt{5}}{-(-4)+2(-2)} .\end{array} Simplifying the expressions in parenthesis, the expression above becomes \begin{array}{l}\require{cancel} \dfrac{\sqrt{5}}{4+2(-2)} .\end{array} Simplifying the products, the expression above becomes \begin{array}{l}\require{cancel} \dfrac{\sqrt{5}}{4-4} .\end{array} Simplifying the sums/differences, the expression above becomes \begin{array}{l}\require{cancel} \dfrac{\sqrt{5}}{0} .\end{array} Since division by zero is not allowed, then the value of the given expression is $ \text{undefined} .$
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