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

$\sqrt{1b} + \sqrt{-1b}$

Lets simplify $\sqrt{-b}$

We know $\sqrt{-1} = i$

$\sqrt{-b} =i\sqrt{b)$

We cannot simplify $\sqrt{1b}$

$\sqrt{1b} + \sqrt{-1b}$

$\sqrt{1b} + i\sqrt{b}$

So a + ib form is $\sqrt{1b} + i\sqrt{b}$