Question

simplify the imaginary number.

\\6\sqrt{-48}\\

Explanation:

Extract the imaginary unit

$$ 6\sqrt{-48} = 6 \cdot i\sqrt{48} $$

Simplify the radical

$$ \sqrt{48} = \sqrt{16 \cdot 3} = 4\sqrt{3} $$

Multiply the coefficients

$$ 6 \cdot i \cdot 4\sqrt{3} = 24i\sqrt{3} $$

Answer:

Simplify the imaginary number.
\(6\sqrt{-48} =\) <blank>\(24i\sqrt{3}\)</blank>