Question

perform the following operations.\\(\sqrt{-16}\\)\\(?i\\)

Explanation:

Step1: Rewrite negative radicand

$\sqrt{-16} = \sqrt{16 \times (-1)}$

Step2: Split the square root

$\sqrt{16 \times (-1)} = \sqrt{16} \times \sqrt{-1}$

Step3: Evaluate square roots

$\sqrt{16} = 4$, $\sqrt{-1} = i$, so $4 \times i = 4i$

Answer:

$4$