Question

Do negative numbers have positive square roots?

Answer 1

Answer: not exactly

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:

`√(-1)` = i

So something like
`√(-4)` can be simplified like:

`√(4)` *
`√(-1)`

2 * i

2i

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

something like
`(-2)^(2)` will always be positive, but you have to be careful with the parentheses.

There is a difference btw
`(-2)^(2)` and
`-2^(2)`

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

but

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

Answer 2

Answer: yes

Explanation: