## Intermediate Algebra (12th Edition)

$\bf{\text{Solution Outline:}}$ To solve the given radical equation, $\sqrt[4]{8z-3}+2=0 ,$ use the properties of equality to isolate the radical expression. Then ensure that the right side of the equal sign is positive. $\bf{\text{Solution Details:}}$ Using the properties of equality to isolate the radical expression results to \begin{array}{l}\require{cancel} \sqrt[4]{8z-3}=-2 .\end{array} The left side of the equal sign always gives a non negative result. This will never be equal to the negative value at the right side. Hence, there is $\text{ no solution .}$