Question

evaluate the following square root expression.\\(\sqrt{-4}\\)\
answer

Explanation:

Step1: Rewrite negative radicand

$\sqrt{-4} = \sqrt{4 \times (-1)}$

Step2: Split the square root

$\sqrt{4} \times \sqrt{-1}$

Step3: Evaluate square roots

$\sqrt{4}=2$, $\sqrt{-1}=i$

Step4: Multiply the results

$2 \times i$

Answer:

$2i$