Answer
{$-2\sqrt 6,2\sqrt 6$}
Work Step by Step
Using Property 10.1, which states that for any non-negative real number $a$, $x^{2}=a$ can be written as $x=\pm\sqrt a$, we obtain:
Step 1: $n^{2}=24$
Step 2: $n=\pm \sqrt {24}$
Step 3: $n=\pm \sqrt {4\times 6}$
Step 4: $n=\pm (\sqrt 4\times \sqrt 6)$
Step 5: $n=\pm (2\times \sqrt 6)$
Step 6: $n=\pm 2\sqrt 6$
The solution set is {$-2\sqrt 6,2\sqrt 6$}.