Answer
$y=1\pm2\sqrt{6}$
Work Step by Step
Getting the square root of both sides, the solution/s of the given equation, $
(y-1)^2=24
,$ is/are
\begin{array}{l}\require{cancel}
y-1=\pm\sqrt{24}
\\\\
y-1=\pm\sqrt{4\cdot6}
\\\\
y-1=\pm\sqrt{(2)^2\cdot6}
\\\\
y-1=\pm2\sqrt{6}
\\\\
y=1\pm2\sqrt{6}
.\end{array}
