先化简,再求值:x+根号xy/根号xy+y+根号xy-y/x-xy,其中x=根号3+1,y=根号3-1

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/13 08:35:17
先化简,再求值:x+根号xy/根号xy+y+根号xy-y/x-xy,其中x=根号3+1,y=根号3-1

先化简,再求值:x+根号xy/根号xy+y+根号xy-y/x-xy,其中x=根号3+1,y=根号3-1
先化简,再求值:x+根号xy/根号xy+y+根号xy-y/x-xy,其中x=根号3+1,y=根号3-1

先化简,再求值:x+根号xy/根号xy+y+根号xy-y/x-xy,其中x=根号3+1,y=根号3-1
[x+√(xy)]/[√(xy)+y]+[√(xy)-y]/[x-√(xy)]
=[x+√(xy)]*[√(xy)-y]/(xy-y²)+[√(xy)-y]*[x+√(xy)]/(x²-xy)
=[x√(xy)-y√(xy)]/[y(x-y)]+[x√(xy)-y√(xy)]/[x(x-y)]
=√(xy)/y+√(xy)/x
=√(xy)(x+y)/xy
=√[(√3+1)(√3-1)](√3+1+√3-1)/[(√3+1)(√3-1)]
=√2*2√3/2=√6
对吗.

[x+√(xy)]/[√(xy)+y]+[√(xy)-y]/[x-√(xy)]
=[x+√(xy)]*[√(xy)-y]/(xy-y²)+[√(xy)-y]*[x+√(xy)]/(x²-xy)
=[x√(xy)-y√(xy)]/[y(x-y)]+[x√(xy)-y√(xy)]/[x(x-y)]
=√(xy)/y+√(xy)/x
=√(xy)(x+...

全部展开

[x+√(xy)]/[√(xy)+y]+[√(xy)-y]/[x-√(xy)]
=[x+√(xy)]*[√(xy)-y]/(xy-y²)+[√(xy)-y]*[x+√(xy)]/(x²-xy)
=[x√(xy)-y√(xy)]/[y(x-y)]+[x√(xy)-y√(xy)]/[x(x-y)]
=√(xy)/y+√(xy)/x
=√(xy)(x+y)/xy
=√[(√3+1)(√3-1)](√3+1+√3-1)/[(√3+1)(√3-1)]
=√2*2√3/2=√6

收起

先化简,再求值:x+根号xy/根号xy+y+根号xy-y/x-xy,其中x=根号3+1,y=根号3-1 先化简,在求值:(x+根号xy)/(y+根号xy)+((根号xy)-y)/(x-根号xy),其中x=根号3+1,y=根号3-1先化简,再求值:(x+根号xy)/(y+根号xy)+((根号xy)-y)/(x-根号xy),其中x=根号3+1,y=根号3-1 『麻烦过程和原因』先化简,再求值:根号xy加上y分之x加根号x+y x减根号xy分之根号xy减y 先化简,再求值x^2-xy/xy-y^2,其中x=根号24,y=根号32 (根号xy-2×根号y/x+根号x/y)×根号xy( 先化简,再求值∶(1/x-y-1/x+y)÷2y/x²+2xy+y²,其中x=根号下3加根号下2,y=根号下3- 先化简,再求值.其中x=根号3,y=根号2,求(1/y-1/x)xy/x2-2xy+y2 解方程:1.2/(x+2)+2/x-4=3/x-2 先化简,再求值:x-xy/x四次方y+2xy+拜托了各位 解方程:1.2/(x+2)+2/x-4=3/x-2 先化简,再求值:x-xy/x四次方y+2xy+xy,其中 x=根号3+根号2/根号3-根号2,y=根号3-根号2/根号3+ 先化简,再求值:根号12xy^2-根号3x^5+b^2-y根号3xy^2+5x根号48x^y,其中x=3,y=2, 先化简,再求值:根号12xy^2-根号3x^5+b^2-y根号3xy^2+5x根号48x^2y,其中,x=3,y=2 先化简,再求值:根号12xy^2-根号3x^5+b^2-y根号3xy^2+5x根号48x^2y,其中,x=3,y=2没有b^2 x^2-3x分之3y-xy,其中x=根号2,y=-2 先化简,再求值 化简求值; 若X=根号2+1,Y= 根号2- 1,求X平方+XY+Y平方的值. 化简:5根号X^3Y-2Y根号XY-6根号XY+根号X分之Y+根号Y分之X lim xy x趋近于0 —————— y趋近于0 根号下xy+4-2 求值 -2在根号外xy/ 根号下xy+4-2求值 -2在根号外 计算:( 根号xy-xy/x+根号xy)÷根号xy-y/x-y= 根号X(根号X-根号Y)=3根号Y(5根号Y-根号X),求(2X-根号XY+3Y)/X+根号XY-6Y 数学:先化简再求值(x²+xy-2y²/x²-2xy+y²)-(1-xy²)(1+xy²)-x²÷1/y^4,其中x=根号3+根号2y=根号3-根号2