p^2=5
You asked:
Solve the equation \({p}^{2} = 5\) for the variable \(p\).
MathBot Answer:
\[\begin{aligned}p &= \sqrt{5} \approx 2.236068\\p &= - \sqrt{5} \approx -2.236068\end{aligned}\]
Take the square root of both sides of the equation $$\begin{aligned}p^{2} &= 5 \\ \sqrt{p^{2}} &= \sqrt{5} \end{aligned}$$
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. $$\begin{aligned}p &= \pm \sqrt{5} \\ p = \sqrt{5} &,\, p=-\sqrt{5}\end{aligned}$$