Question 151506
{{{3*sqrt(2/7)=3*sqrt(2*7/7^2)=(3/7)*sqrt(14)}}}
{{{5*sqrt(7/2)=5*sqrt(7*2/2^2)=(5/2)*sqrt(14)}}}
{{{3*sqrt(56)=3*sqrt(4*14)=3*2*sqrt(14)=6*sqrt(14)}}}
So
{{{3*sqrt(2/7)-5*sqrt(7/2)+3*sqrt(56)=(3/7)*sqrt(14)-(5/2)*sqrt(14)+6*sqrt(14)
=(3/7-5/2+6)*sqrt(14)=(6/14-35/14+84/14)*sqrt(14)=55*sqrt(14)/14}}}