Question

1. find the values of \a\ and \b\ in the form a + bi for the value of: \\(\sqrt{-16}\\) \\(\bigcirc\\) \\(a = 0, b = -4\\) \\(\bigcirc\\) \\(a = 0, b = 4\\) \\(\bigcirc\\) \\(a = -4, b = 0\\) \\(\bigcirc\\) \\(a = 4, b = 0\\)

Explanation:

Step1: Rewrite negative radicand

$\sqrt{-16} = \sqrt{16 \times (-1)}$

Step2: Separate square roots

$\sqrt{16} \times \sqrt{-1}$

Step3: Evaluate roots, use $i=\sqrt{-1}$

$4i = 0 + 4i$

Answer:

$a = 0, b = 4$