Answer:
[tex]uv=3i \sqrt{3}-5[/tex]
Step-by-step explanation:
We know that [tex]i=\sqrt{-1}[/tex]
We have u = (1 + i √3) and v = (1 + 2i √3)
uv = (1 + i √3) x (1 + 2i √3) [tex]=(1*1+1*i \sqrt{3}+1*2i \sqrt{3}+i \sqrt{3}*2i \sqrt{3})=(1+3i \sqrt{3}+2*i^2*3)[/tex]
[tex]uv=(1+3i \sqrt{3}-6)=3i \sqrt{3}-5[/tex]
So, [tex]uv=3i \sqrt{3}-5[/tex]
