i2=−1

(1 point)
Responses

True
True

False
False
Skip to navigation

False

True. The statement i^2 = -1 is true. In the imaginary number system, i represents the imaginary unit, which is defined as the square root of -1. When we square i, we get -1.

The given statement is i^2 = -1. You are required to determine whether this statement is true or false.

To solve this, we need to recall the definition of the imaginary unit, i. The imaginary unit, i, is defined as the square root of -1.

So, squaring the imaginary unit, we have:

i^2 = (-1) (since i = √(-1))

i^2 = -1

Hence, the statement i^2 = -1 is true.

Therefore, the correct response is: True.