Question

Express in simplest a+bi form: Square root of 1b + Square root of -1b

Answer 1

Express in simplest a+bi form: Square root of 1b + Square root of -1b

`√(1b) + √(-1b)`

Lets simplify
`√(-b)`

We know
`√(-1) = i`

`√(-b) =i\sqrt{b)`

We cannot simplify
`√(1b)`

`√(1b) + √(-1b)`

`√(1b) + i√(b)`

So a + ib form is
`√(1b) + i√(b)`