Final answer:
The square root of -0.01 is greater in magnitude than the square root of -0.08 when considering imaginary numbers, as it is closer to zero on the complex plane.
Step-by-step explanation:
The student asked which is greater: the square root of -0.08 or the square root of -0.01. Normally, the square root of a negative number is not a real number but an imaginary one, as real numbers squared always give a positive result. However, if we were to consider the square root of these numbers in terms of absolute value, the square root of a smaller absolute value would be lesser. So, the square root of -0.01 would be greater in magnitude when we talk about imaginary numbers (because it would be closer to zero on the complex plane).