Question

If i= sqrt -1, what is the value of i^3 ?

Answer 1

Answer: -i

Explanation:

Since i is sqrt -1,
`√(-1) * √(-1) =-1`

then,
`-1 * √(-1)` is going to be -i, because multiplying by -1 makes things negative.

Answer 2

-i

Explanation:

The value of i^3 can be calculated by multiplying i with itself three times:

i^3 = (sqrt(-1))^3 = (sqrt(-1))^2 * sqrt(-1) = (-1) * sqrt(-1) = -sqrt(-1) = -i

Therefore, the value of i^3 is -i.