Q:

Help is appreciated! Thanks!I really need these answers explained!!1) Simplify -4i√-482) Multiply. Give your answer in radical form. (-5-5i)(3-6i)3) Multiply. Give your answer in radical form. √3√5√174) Multiply. Give your answer in radical form. √3(√24+√30)

Accepted Solution

A:
Answer:16√3-45+15i√2556√2 +3√10Step-by-step explanation:1) [tex]-4i\sqrt{-48}=-4i\sqrt{(-1)(4^2)(3)}=(-4i)(4i)\sqrt{3}=16\sqrt{3}[/tex]__2)[tex](-5-5i)(3-6i)=-5(3-6i)-5i(3-6i)=-15+30i-15i+30i^2=-15-30+15i\\\\=-45+15i[/tex]__3) [tex]\sqrt{3}\sqrt{5}\sqrt{17}=\sqrt{3\cdot 5\cdot 17}=\sqrt{255}[/tex]__4)[tex]\sqrt{3}(\sqrt{24}+\sqrt{30})=\sqrt{3\cdot 24}+\sqrt{3\cdot 30}=\sqrt{6^2\cdot 2}+\sqrt{3^2\cdot 10}\\\\=6\sqrt{2}+3\sqrt{10}[/tex]_____The applicable identities are ...[tex]\sqrt{a^2b}=a\sqrt{b}\\\\i^2=-1[/tex]