Question

$\sqrt{-15}$
$\sqrt{-15}=\square$
(simplify your answer. type your answer in the form $a + bi$. type an exact answer, using radicals as needed.)

Explanation:

Step1: Rewrite negative radicand

$\sqrt{-15} = \sqrt{15 \times (-1)}$

Step2: Separate the radicals

$\sqrt{15 \times (-1)} = \sqrt{15} \times \sqrt{-1}$

Step3: Substitute $\sqrt{-1}=i$

$\sqrt{15} \times i = 0 + \sqrt{15}i$

Answer:

$0+\sqrt{15}i$