True or False i^(2) = √(2)?

Question

True or False

`i^(2) = √(2)`?

Answer 1

I hope this helps you

Answer 2

False,
`i^2\\eq √(2)`

Explanation:

`i` is defined as:

`i=√(-1)`

so
`i^2` must be:

`i^2=(√(-1))^(2)`

The square root and the squared power are inverse operations, so they cancel ech other

`i^2=-1`

so it is concluded that
`i^2` is not equal to
`√(2)`, but instead is equal to
`-1`