Question

does a negative number have a square root? why?

Answer 1

Read upon this: http://www.mathsisfun.com/numbers/imaginary-numbers.html
Will give a better explanation tbh.

Answer 2

yes or no?

Answer 3

`Assuming we're dealing with real numbers`: the answer is no.

Because there is no value, when multiplied by itself, that will give you a negative number.

Example:\[\Large\rm -3\cdot-3=9\]But there is no way for us to get \(\Large\rm -9\) by multiplying a number by itself.
Therefore \(\Large\rm \sqrt{-9}\) has no real solution.