Question

√(-7)
√(-7) = □
(simplify your answer. type your answer in the form a + bi. type an exact answer, using radicals as needed.)

Explanation:

Step1: Rewrite negative radicand

$\sqrt{-7} = \sqrt{7 \times (-1)}$

Step2: Split into product of radicals

$\sqrt{7 \times (-1)} = \sqrt{7} \times \sqrt{-1}$

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

$\sqrt{7} \times i = 0 + \sqrt{7}i$

Answer:

$0+\sqrt{7}i$