Express in the form a+bi `(sqrt3-isqrt2)/(2sqrt3-isqrt3)`

Explanation

`(sqrt3-isqrt2)/(2sqrt3-isqrt3)`
`((sqrt3-isqrt2)(2sqrt3+isqrt3))/((2sqrt3-isqrt3)(2sqrt3+isqrt3))`
`(6+3i-2isqrt6-sqrt(6i)^2)/(12-3i^2)`
`((6+sqrt6)+(3-2sqrt6))/(15)`
`(6+sqrt6)/(15)+i(3-2sqrt6)/(15)`
`21=21+i0`
`(1+i)/(1-i)=(1+i)^2/((1-i)(1+i))`
`(i+i^2+2i)/(1-i^2)=(2i)/(1+1)=(2i)/2=i=0+ixx1`