Assuming you are looking for the square root of a negative one hundred twenty-five (-125), you first have to divide the problem into two components:
-1 and 125.
Because you cannot have a negative square root, you have to pull out the negative one (-1). The next step is to find the square root you'll be working with, in this case you are trying to find it for 125. This could either be the horribly complex 11.180339887498949, or you could simplify it down to 5√5. I'm gonna use that here.
So you have 5√5, but a negative is still required. This is the easy part. The square root of a -1 is equal to i.
So your answer can either be (5√5)i or (11.180339887498949)*(i).
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Verified answer
Well the wording is a little odd, but here we go.
Assuming you are looking for the square root of a negative one hundred twenty-five (-125), you first have to divide the problem into two components:
-1 and 125.
Because you cannot have a negative square root, you have to pull out the negative one (-1). The next step is to find the square root you'll be working with, in this case you are trying to find it for 125. This could either be the horribly complex 11.180339887498949, or you could simplify it down to 5√5. I'm gonna use that here.
So you have 5√5, but a negative is still required. This is the easy part. The square root of a -1 is equal to i.
So your answer can either be (5√5)i or (11.180339887498949)*(i).
hope it helps