xy=2
x+(根号xy)/[（根号xy)+y]+(根号xy)-y/x-(根号xy)
=(√3+√2+1)/(√3+√2-1)+(1+√2-√3)/(√3-√2+1)
=[(√3+√2+1)(√3-√2+1)]/[(√3+(√2-1))(√3-(√2-1))]+[(1+√2-√3)(1-√2+√3)]/[(√3+(√2-1))(√3-(√2-1))]
=[(√3+1)^2-2+1-(√2-√3)^2]/[3-(√2-1)^2]
=(2√3+√6-√2)/2
...根号xy)+y]+(根号xy)-y\/x-(根号xy) 的值 在线等 帮帮忙
xy=2 x+(根号xy)\/[（根号xy)+y]+(根号xy)-y\/x-(根号xy)=(√3+√2+1)\/(√3+√2-1)+(1+√2-√3)\/(√3-√2+1)=[(√3+√2+1)(√3-√2+1)]\/[(√3+(√2-1))(√3-(√2-1))]+[(1+√2-√3)(1-√2+√3)]\/[(√3+(√2-1))(√3-(√2-1))]=[(√...
已知x=(根号3)+1,y=(根号3)-1,求代数式(x-y;\/x-y)-(3xy+3xy;\/x+2xy+...
（x-y;\/x-y）-（3xy+3xy;\/x+2xy+y） =(x+y)(x-y)\/(x-y)-3xy(x+y)\/(x+y)^2 =x+y-3xy\/(x+y) =2√3-3(3-1)\/2√3 =2√3-√3 =√3
已知x=根号3+1,y=根号3-1,求x方-y方\/x方y+xy方的值。
x方-y方\/x方y+xy方 =(x+y)(x-y)\/[xy(x+y)]=(x-y)\/xy =[(√3+1)-(√3-1)]\/[(√3+1)(√3-1)]=2\/2=1
已知x=根号3+1,y=根号3-1,求根号xy(根号x分之y+y分之x)
根号xy(根号x分之y+y分之x)=根号2*根号（x2+y2\/xy）=根号2根号（8\/2）=2根号2 同学你好，如果问题已解决，记得右上角采纳哦~~~您的采纳是对我的肯定~谢谢哦
X=根号3+1,Y=根号3-1,求X平方Y+XY平方分之X方+Y方的值
X=根号3+1，Y=根号3-1 x+y=2√3 xy=2 x²+y²=(x+y)²-2xy=12-4=8 (x²+y²)\/(x²y+xy²)=(x²+y²)\/xy(x+y)=8\/4√3 =2√3\/3
已知:x等于根号3加1,y等于根号3减1,求x的平方减xy加y的平方的值
∵x=√3+1、y=√3-1 ∴x+y=2√3、xy=3-1=2 x²-xy+y²=(x+y)²-3xy =(2√3)²-3×2 =12-6 =6
x=根号3+1,y=根号3-1时,求代数式x平方+xy的值
等于6+2倍根号3 X^2+xy=x(x+y)=（根号3+1）（根号3+1+根号3-1）=（根号3+1）2倍根号3=6+2倍根号3
1.已知y\/x=3,求x+y\/x-y 2.已知X=根号3+1,y=根号3-1,求XX-YY\/XXY+XYY
= (x\/x+y\/x)\/(x\/x-y\/x)= (1+y\/x)\/(1-y\/x)=(1-3)\/(1+3)=-2\/4 =-1\/2 x=√3+1,y=√3-1 (x^2-y^2)\/(x^2y+xy^2)=(x+y)(x-y)\/[xy(x+y)]=(x-y)\/(xy)=(√3+1-√3+1)\/(√3+1)(√3-1)=2\/2 =1 Y为正数 y=x^2\/(2-3x)x^2\/(2-3x)...
已知x= 根号三+ 1,y=根号三-1,求x^2-y^2\/x^2 y+xy^2
即x-y=2 xy=3-1=2 原式=(x+y)(x-y)\/xy(x+y)=(x-y)\/xy =2\/2 =1
...+1,y=√3-1,求代数式x⊃2;-y⊃2;\/x⊃2;y+xy⊃2;的值_百度...
解；原式=x²-y²\/xy(x+y)=x²-y\/x(x+y)当x=√3+1,y=√3-1,时。原式=（√3+1)²-(√3-1,)\/(√3+1）2√3 =4+2√3-（4-2√3）\/4√3 =4+2√3-√3\/3+1\/2 =4.5+5√3\/3
