Question

Simpify: (square root of -64)(3+square root of -361)

Answer 1

$$\begin{gathered} \sqrt{-64}\left[3+\sqrt{-361}\right] \\ =3\sqrt{-64}+\sqrt{-64}\times \sqrt{-361} \\ =3\times \sqrt{-1}\times \sqrt{64}+\sqrt{64\times 361} \\ =24i+\sqrt{8\times 8\times 19\times 19} \\ =152+24i \end{gathered}$$