c$^2*$c$^2$ domain and codomain is Real number set.lett $($c$^2,$d$)$ where d$($x$,$y$)=$sqrt$\{($L$1-$M$1)^2+($L$2-$M$2)^2\}$ where x$=($L$1,$L$2)$ and y$=($M$1,$M$2)$ and L$1,$L$2,$M$1,$M$2$ are belong from complex number and prove that $($C$^2,$d$)$ is metric space. where c represent complex number set