Question

Which choice is equivalent to √-100?
a) -10i
b) 10i
c) 10
d) -10

Answer 1

The square root of -100 is the imaginary number 10i, where i is the imaginary unit defined as the square root of -1. The correct answer is b) 10i.

Step-by-step explanation:

The question asks which choice is equivalent to the square root of negative one hundred (√-100). Since the square root of a negative number involves the imaginary unit i where i=√-1, we find that √-100 = √-1 × √100 = 10i.

The correct answer is b) 10i. The number 10 is the square root of 100, and the negative sign results in the imaginary unit i, making 10i the equivalent expression.