Answer: 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:
[tex]\sqrt{-1}[/tex] = i
So something like [tex]\sqrt{-4}[/tex] can be simplified like:
[tex]\sqrt{4}[/tex] * [tex]\sqrt{-1}[/tex]
2 * i
2i
But if you're talking about squares like exponent wise, then yes
something like [tex](-2)^{2}[/tex] will always be positive, but you have to be careful with the parentheses.
There is a difference btw [tex](-2)^{2}[/tex] and[tex]-2^{2}[/tex]
[tex](-2)^{2}[/tex] = 4 because you are multiplying (-2)(-2)
but
[tex]-2^{2}[/tex] = -4 because you are multiplying -(2)(2)
