In the given format of -125 = Ai square root B, we have; √-125 = 5i√5
The square root of a complex number can be determined using a formula. Just like the square root of a natural number comes in pairs (Square root of x2 is x and -x), the square root of complex number a + ib is given by √(a + ib) = ±(x + iy), where x and y are real numbers.
Now, applying the definitions and expressions above to our question, the square root of -125 would be;
√-125 = √(-25 * 5)
= 5i√5
Thus, in the given format of -125 = Ai square root B, we have;
√-125 = 5i√5
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