Question

How will we work with binomials containing radicals and complex numbers?

Answer 1

general question
something of this sort \(\large \rm (2+\sqrt{2})(3-\sqrt{2})\)

Answer 2

or they should have also complex numbers as well
or your question is separated to two part

Answer 3

you might be asking
\(\large \rm(1-\sqrt{3}i)(1+\sqrt{3}i)\)
something of this sort

Answer 4

separated by two parts

Answer 5

when you have \(\large \rm (1-\sqrt{3})(2+\sqrt{3})\)
you just foild like you do before
you get\large \(\rm (1-\sqrt{3})(2+\sqrt{3})=1.2+1.\sqrt{3}-2.\sqrt{3}-\sqrt{3}\sqrt{3}\)

Answer 6

like just the usual way you foil
then you simplify

Answer 7

\(\rm 1.2+1.\sqrt{3}-2.\sqrt{3}-\sqrt{3}\sqrt{3}=2-\sqrt{3}-3=-1-\sqrt{3}\)