Question

How do you multiply `(2 + i sqrt3)^2`?

Answer 1

Assuming that `i` is the imaginary unit we have that

#(2+isqrt3)*(2+isqrt3)=2*2+2isqrt3+2isqrt3+(isqrt3)*(isqrt3)= 4+4isqrt3-3=1+4isqrt3#

Finally

`(2+isqrt3)^2=1+4isqrt3`