Question

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

Explanation:

Step1: Separate negative from radical

$\sqrt{-2} = \sqrt{-1 \times 2}$

Step2: Split into product of radicals

$\sqrt{-1 \times 2} = \sqrt{-1} \times \sqrt{2}$

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

$\sqrt{-1} \times \sqrt{2} = i\sqrt{2}$

Answer:

$i\sqrt{2}$