Question

Which of the following choices are equivalent to the expression below? Check all that apply.

√−125
A. −5i
B. −5
C. 5i
D. 5

Answer 1

The expression √-125 can be simplified by taking the square root of -125. The equivalent choices are -5i and 5i.

Step-by-step explanation:

The expression √-125 can be simplified by taking the square root of -125. Since the square root of a negative number is not a real number, we need to express it in terms of imaginary numbers. When we take the square root of -125, we get √-125 = √(-1 * 5 * 5 * 5) = 5i√5. Therefore, the choices that are equivalent to the expression are A. -5i and C. 5i.