Evaluate each of the numeric expressions: $\sqrt{(-3)}$, $\sqrt{3}$, $\sqrt{-3}$ Need help breaking down and understanding the concept to get answer.

In the real numbers, there are two square roots of $3$, which are approximately $\pm 1.732.$  You can check this with your calculator.  In the reals, there are not square roots of $-3$, whether you put parentheses around it or not.  In the complex numbers, there are two square roots of $-3$, which are $\pm \sqrt 3 i$.  In the complex numbers $i$ is defined as (one of the) square roots of $-1$, so if you square either $+\sqrt 3 i$ or $-\sqrt 3 i$ you get $-3.$
