指数,化简求值当x>0,y>0且√x(√x+√y)=
当x>0,y>0且√x(√x+√y)=3√y(√x+5√y)时, 求(2x+√xy+3y)/(x+√xy-y)的值
x-2√xy-15y=0 (√x-5√y)*(√x+3√y)=0 所以(√x-5√y)=0,(√x+3√y)=0 得:√x=5√y,√x=-3√y(舍) x=25y 将之代入所求式子得: =[2*25y+√(25y^2)+3y]/[25y+√(25y^2)-y] =(50y+5y+3y)/(25y+5y-y) =58y/29y =2