Question

If u = (1 + i √3) and v = (1 + 2i √3) , then what is uv?

Answer 1

`uv=3i √(3)-5`

Explanation:

We know that
`i=√(-1)`

We have u = (1 + i √3) and v = (1 + 2i √3)

uv = (1 + i √3) x (1 + 2i √3)
`=(1*1+1*i √(3)+1*2i √(3)+i √(3)*2i √(3))=(1+3i √(3)+2*i^2*3)`

`uv=(1+3i √(3)-6)=3i √(3)-5`

So,
`uv=3i √(3)-5`