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## Homework Statement

Verify that i

^{2}=-1

using

(a+bi)(c+di) = (ac-bd)(ad+bc)i

## Homework Equations

(a+bi)(c+di) = (ac-bd)(ad+bc)i

## The Attempt at a Solution

I tried choosing coefficients so that it would be (i)(i) = (0 - 1)+(0+0)i = -1

so then I get i^2 = -1

But I was told that this was wrong and to try again...

Can anyone explain what I did was wrong or if

theirs a smarter way to verify?