Question

find the square root of the number. \\(-3\sqrt{-49}\\) \\(\\) the square root is \\(\square\\).

Explanation:

Step1: Rewrite negative radicand

$\sqrt{-49} = \sqrt{49 \times (-1)} = \sqrt{49} \times \sqrt{-1}$

Step2: Simplify using imaginary unit

$\sqrt{49} = 7$, $\sqrt{-1} = i$, so $\sqrt{-49} = 7i$

Step3: Multiply by the coefficient

$-3 \times 7i = -21i$

Answer:

$-21i$