Question

question
write $sqrt{-7}$ in simplest radical form.
answer attempt 1 out of 2

Explanation:

Step1: Split the negative radicand

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

Step2: Separate the square roots

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

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

$\sqrt{-1} \times \sqrt{7} = i\sqrt{7}$

Answer:

$i\sqrt{7}$