## Intermediate Algebra (12th Edition)

$h=\dfrac{D^2}{k}$
$\bf{\text{Solution Outline:}}$ To solve the given equation, $D=\sqrt{kh} ,$ in terms of $h ,$ square both sides. Then use the properties of equality to isolate the variable. $\bf{\text{Solution Details:}}$ Squaring both sides, the equation above is equivalent to \begin{array}{l}\require{cancel} (D)^2=\left(\sqrt{kh}\right)^2 \\\\ D^2=kh .\end{array} Using the properties of equality, the equation above is equivalent to \begin{array}{l}\require{cancel} \dfrac{D^2}{k}=h \\\\ h=\dfrac{D^2}{k} .\end{array}