作业帮化简X-Y除以根号X根号Y
来源：学生作业帮助网 编辑：作业帮 时间：2024/04/28 12:52:03
题是这样的吧：[(√x-√y)^3+2x√x+y√y]/(x√x+y√y)+[3√(xy)-3y]/(x-y)原式=[(x√x-3x√y+3y√x-y√y)+2x√x+y√y]/(x√x+y√y)+[
[2xy/（x·根号y+y·根号x）]=2根号xy的平方/[根号xy(根号x+根号y)]=2根号xy/(根号x+根号y)[x+y/(根号x+根号y)]+2根号xy/(根号x+根号y)=[(x+y+2根
(x-y+x+y)/(x^2-y^2)*((x-y)^2/2x)=2x/(x-y)(x+y)*((x-y)^2/2x)=(x-y)/(x+y)x=根号3,y=负根号2原式=（根号3+根号2）/（根号3
[（x×根号x+x×根号y）/（xy-y²）]-[（x+根号下xy+y）/（x×根号x-y×根号y）]=(x√x+x√y)/(xy-y^2)-[x+√(xy)+y]/(x√x-y√y)=[x
(x√x+x√y)/(xy-y^2)-[x+√(xy)+y]/(x√x-y√y)=[x(√x+√y)/[y(√x-√y)(√x+√y)]-[x+√(xy)+y]/{(√x-√y)[x+√(xy)+y]
(根号y分之x-根号x分之y)除以（根号y分之1-根号x分之1）=[(x-y)/根号xy]÷[（根号x-根号y)/根号xy]=根号x+根号y
（根号y/根号x-根号y)-(根号y/根号x+根号y)=｛根号y（根号x+根号y）｝/（x-y）-｛根号y（根号x-根号y）｝/(x-y)=(y+y)/(x-y)因为x=2y所以原式=2y/y=2
根号32x除以根号2xy乘以2根号y的三次方=(4√2x)÷(√2xy)×(2√y³)=4÷(√y)×(2y√y)=8y
原式=1÷2×√[xy/(y²/x)]=1/2×√(x²y/y²)=x√y/(2y)
(y√x+x√y)/(xy-y²)-(x+√xy+y)/(x√x-y√y)=√xy(√x+√y)/[y(√x+√y)(√x-√y)]-(x+√xy+y)/[(√x-√y)(x+√xy+y)]
根号x+根号y分之x-y=根号x+根号y分之（根号x-根号y）（根号x+根号y）=根号x-根号y
你的x、y分大小写吗?2Xy/x根号y什么意思?再问：没大小就是xyx十Y/（根号x十根号y）十2Xy/（x根号y十y根号x）再答：Y/（根号x十根号y）这一项分子分母都乘以（根号x-根号y）；2Xy
=(√x+√y)²/(√x+√y)=√x+√y
根号下的数大于等于0所以X-Y>=0,Y-X>=0X-Y和Y-X是相反数同时大于等于0则只能等于0所以根号X-Y+根号Y-X=0+0=0
可知x≥0,y≥0(x-y)/(√x+√y)-(x-2√xy+y)/(√x-√y)=(√x+√y)(√x-√y)/(√x+√y)-(√x-√y)²/(√x-√y)=(√x-√y)-(√x-√
(x-y)/(√x-√y)=(√X+√y)(√x-√y)/(√x-√y)=√x+√y
原式=5x根号(xy)/3根号(y/x)*1/3根号(x/y)=5/9*根号(xy*x/y*x/y)=5x/9y根号(xy)
根号2x乘以根号y分之x乘以（根号x分之y除以根号y分之一）=根号2x^2/y*（根号y/x*根号y）=根号2x^2/y*根号y^2/x=根号2x/y再代入x、y的值就可以了.