$a^{2}$ = 48
You asked:
Solve the equation \({a}^{2} = 48\) for the variable \(a\).
MathBot Answer:
\[\begin{aligned}a &= 4 \sqrt{3} \approx 6.9282032\\a &= - 4 \sqrt{3} \approx -6.9282032\end{aligned}\]
Take the square root of both sides of the equation $$\begin{aligned}a^{2} &= 48 \\ \sqrt{a^{2}} &= \sqrt{48} \end{aligned}$$
Remember that both positive and negative numbers will result in a positive number when squared, so a square root will have both a positive and a negative answer. $$\begin{aligned}a &= \pm 4 \sqrt{3} \\ a = 4 \sqrt{3} &,\, a=-4 \sqrt{3}\end{aligned}$$