Question

"i^2 is equal to"

a) i

b) -1

c) 1

d) √i

Answer 1

i^2 equals -1 because squaring the imaginary unit i, which is sqrt(-1), removes the square root and leaves -1.

Step-by-step explanation:

The question 'i^2 is equal to' asks for the result of squaring the imaginary unit i, which is defined as the square root of -1. Squaring i gives us:

i^2 = (sqrt(-1))^2

When we square the square root of -1, we essentially remove the square root, leaving us with -1. Therefore, the correct answer to the question is:

i^2 equals -1 (choice b).

The question i^2 is equal to which of the following evaluates the square of the imaginary unit i. In mathematics, specifically in the field of complex numbers, i is defined as the square root of -1. Therefore, when you square i, you get:

i · i = i^2 = √-1 · √-1 = -1

The correct answer to the question is b) -1.