1/2√（32x3^3）+2x√（x/2)-x^2√（50/x)
=(1/2)√(16*2*3^2*3)+2x√(2x/4)-x^2√(25*2x/x^2)
=(1/2)*12√6+x√2x-x^2*(5/x)√2x
=6√6+x√2x-5x√2x
=6√6-4x√2x.