Answer
$x=\pm2\sqrt{b}$
Work Step by Step
$\bf{\text{Solution Outline:}}$
To find the solutions of the given equation, $
x^2=4b
,$ take the square root of both sides (Square Root Property) and simplify the resulting radical.
$\bf{\text{Solution Details:}}$
Taking the square root of both sides (Square Root Property), the equation above is equivalent to
\begin{array}{l}\require{cancel}
x=\pm\sqrt{4b}
\\\\
x=\pm\sqrt{4\cdot b}
\\\\
x=\pm\sqrt{(2)^2\cdot b}
\\\\
x=\pm2\sqrt{b}
.\end{array}