Question

question
write \\(\sqrt{-3}\\) in simplest radical form.
answer attempt 1 out of 2

Explanation:

Step1: Factor out the negative sign

$\sqrt{-3} = \sqrt{-1 \times 3}$

Step2: Split the radical into two parts

$\sqrt{-1 \times 3} = \sqrt{-1} \times \sqrt{3}$

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

$\sqrt{-1} \times \sqrt{3} = i\sqrt{3}$

Answer:

$i\sqrt{3}$