Since 4^2=sqrt(16), we can rewrite it as that. In addition, as 2 is a factor of 16, we can rewrite it as sqrt(2)*sqrt(16/2)=sqrt(2)*sqrt(8). Crossing out the sqrt(2), we get sqrt(8) as our answer. To simplify it, we can note that 2^2=4 and 4 is a factor of 8 when multiplied by 2, so we get 2*sqrt(2)