Do negative numbers have positive square roots?

not exactly

Step-by-step explanation:

If you put a negative number in a square root you would end up with an error on the calculator. Thats because you end up with an imaginary number since a negative inside a square root can never be calculated, its simply not possible because in order for a negative number to form, a positive number must always be multiplied to a negative number. So people came up with the concept of i:

= i

So something like can be simplified like:

*

 2 * i

  2i

But if you're talking about squares like exponent wise, then yes

something like will always be positive, but you have to be careful with the parentheses.

There is a difference btw and

= 4 because you are multiplying (-2)(-2)

but

= -4 because you are multiplying -(2)(2)