1.被开方数含有平方因数：分解因数(准确找到平方因数)

2.被开方数含有分母：分母变成平方数

解方程3 X-1=2 X

求X

{5 X-3 Y=1}

{3 X-5 Y=2}

注：X全部不在根号内

(1/2x)^2+10/9x^2

=[1/(4x^2)+10/(9x^2)]

=49/36x^2

若x0,=7/(6x)

若x0,=-7/(6x)

a^4mb^2n+1

=(a^2mb^n)^2+1

=a^2mb^n+1

(4a^5+8a^4)(a^2+3a+2)

=[4a^4(a+2)][(a+2)(a+1)]

=[4a^4(a+2)^2(a+1)]

=2a^2(a+2)(a+1)

. 3(1/6)-4(50)+30(2/3)

答案3(1/6)-4(50)+30(2/3)

= 36/6-452+306/3

=6/2-202+106

①58-232+50 =5*32-2*42+52 =2(15-8+5) =122

②6-3/2-2/3 =6-6/2-6/3 =6/6

③(45+27)-(4/3+125) =(35+33)-(23/3+55) =-25+75/3

④(4a-50b)-2(b/2+9a) =(2a-52b)-2(2b/2+3a) =-4a-62b

⑤4x*(3x/2-x/6) =2x(6x/2-6x/6) =2x*(6x/3) =2/3*x*6

⑥(xy-yx)xy =xyxy-yxxy =x-y

⑦(37+23)(23-37) =(23)^2-(37)^2 =12-63 =-51

⑧(32-33)(42+27) =(42-33)(42+33) =(42)^2-(33)^2 =32-27 =5

⑨(36-4)?? =(36)^2-2*36*4+(4)^2 =54-126+4 =58-126

⑩(1+2-3)(1-2+3) =[1+(2-3)][1-(2-3)] =1-(2-3)^2 =1-(2+3+26) =-4-26

1. =55 - 1/255 - 4/55 =5*(5-1/25-4/5) =24/55 2.=144+576 =720 =125

2.)(8/13)^2-(2/13)^2 = (8/13+2/13)(8/13-2/13) =(2/13)15

3.3(1/6)-4(50)+30(2/3) 答案3(1/6)-4(50)+30(2/3) = 36/6-452+306/3 =6/2-202+106

2. (1-根号2)/2乘以(1+根号2)/2 题是这样的二分之一减根号2乘以二分之一加根号2 答案：(1-根号2)/2乘以(1+根号2)/2 =(1-2)*(1-2)/4 =(1-2)/4 =-1/4

3.(1/2x)^2+10/9x^2 [(1/2x)^2+10/9x^2] =(x^2/4+10x^2/9) =(9x^2/36+40x^2/36) =(49x^2/36) =7x/6;

4.a^4mb^2n+1(a、b为正数) [(a^4mb^2n)]+1(a、b为正数) =a^2mb^n+1;

5.(4a^5+8a^4)(a^2+3a+2)(a=0) [(4a^5+8a^4)(a^2+3a+2)](a=0) =[4a^4(a+2)(a+2)(a+1)] =[(2a^2)^2(a+2)^2(a+1)] =2a^2(a+2)(a+1).