Question

(2-3root-6)(-4+root-6)

Answer 1

\[(2-3\sqrt{-6})(-4+\sqrt{-6})\]?

Answer 2

try foiling first...

Answer 3

Lewl^

Answer 4

if so rewrite as
\[(2-3\sqrt{6}i)(-4+\sqrt{6}i)\]

Answer 5

then multiply as you would two complex numbers
\[(a+bi)(c+di)=(ac-bd)+(ad+bc)i\]

Answer 6

or "foil" (ugh)
you get
\[(-8+18)+(12\sqrt{6}+2\sqrt{6})i\]

Answer 7

aka
\[10+14\sqrt{6}i\]

Answer 8

i would be happy to write out the steps further if you like

Answer 9

\[\sqrt[3]{125}-2\sqrt[4]{81\div16}\]