Square Root

If we type ’49’ into a calculator and hit the square root key, the calculator calculates 7.

7*7=49

But another answer is true:

(-7) * (-7) = 49

We have the option to report the following as the answer:

\sqrt{49} = \pm 7

When working through an algebraic derivation, is important to put in that plus minus sign when you do a square root. An example of this occurs when we do completing the square to get the quadratic formula.