Final answer:
The equivalent expression for √(-125) is 5i √5, which corresponds to option A: 5i square root of 5.
Step-by-step explanation:
The student has asked which choice is equivalent to the expression √(-125). To find the equivalent expression, we first recognize that the square root of a negative number involves the imaginary unit 'i,' where i² = -1. The number -125 can be factored into -1 × 5³. Since the square root of -1 is i and the square root of 5³ is 5 × √5, when we take the square root of -125, we combine these results to get 5i √5, which corresponds to option A: 5i square root of 5.