二次根式計算題30道帶答案求20道二次根式計算題,含過程和答案

2021-03-05 09:22:02 字數 10015 閱讀 5627

1樓:櫻空雪

1/6√

1又3/5×(-5√3又√3/5)

=1/6√(8/5)×(-5/3√(3/5)=-5/18√(24/25)

=-5/18×2/5√6

=-1/9√6

(2)√8/a×√2a/b

=√(8/a×2a/b)

=√(16/b)

=4/b(√b)

(3)√2x乘以√2y乘以√x

=√(2x*2y*x)

=2x√y

(4)2√a÷4√b

=√a/2√b

=1/2b√ab

(5)5√xy÷√5x^3

=5√(xy/5x³)

=1/x√5y

(6)√x-y÷√x+y

=1/(x+y)√(x²-y²)

(7)√x(x+y)÷√xy^2/x+y(x>0,y>0)=√[x(x+y)÷xy²/(x+y)]

=(x+y)/y

(8)√xy乘以√6x÷√3y

=√6x²y÷√3y

=x√2

(9)(√mn-√m/n)÷√m/n(n>0)=√mn÷m/n-√m/n÷m/n

=n-1(10)√3/8-(-3/4√27/2+3√1/6)=1/4√6+3/8√6-1/2√6

=1/8√6

(11)2/3√9x+6√x/4-2x√1/x=2√3x+3/2√x-2√x

=5/2√x

(12)2/a√4a+√1/a-2a√1/a^3=1/a√a+1/a√a-2/a√a

=0(13)√0.2m+1/m√5m^3-m√125/m=1/5√5m+√5m-5√5m

=-19/5√5m

(14)√a+b/a-b-√a-b/a+b-√1/a^2-b^2(a>b>0)

=1/(a-b)√(a²-b²)-1/(a+b)√(a²-b²)-1/(a²-b²)√(a²-b²)

=(a+b-a+b-1)/(a²-b²)√(a²-b²)=(2b+1)/(a²-b²)√(a²-b²)解不等式

(15)2x+√32

2x-x<√2-4√2

x<-3√216)√3/8-(-3/4√27/2+3√1/6)=1/2√3/2 + 9/4√3/2 - 1/2√6=1/4√6 + 9/8√6 - 1/2√6=7/8√6

(17)√0.2m+1/m√5m^3-m√125/m=√1/5*m + 1/m√5m*m^2 - m√25*5m/m^2=1/5√5m+√5m-5√5m

=-19/5√5m

(18)(√45+√27)+(√1又1/3-√125)=3√5+3√3 + √4/3-5√5

=3√3 + 2/3√3 + 3√5 - 5√5=5√3 -2√5

(19)2/3√9x+6√x/4-2x√1/x=2√x+3√x-2√x

=3√x

20 √40÷√5

=√8*√5÷√5

=√8=2√2

21 √32/√2

=√16*√2/√2

=√16

=422 √4/5÷√2/15

=√4/5*√15/2

=√(4/5*15/2)

=√623 2√a^3b/√ab

=2√a²√ab/√ab

=2√a²

=2|a|(24)√18-√32+√2

=√2×9-√4×4×2+√2

=3√2-4√2+√2

=0(25)√75-√54+√96-√108=√5×5×3-√6×3×3+√6×4×4-√3×6×6=5√3-3√6+4√6-6√3

=√6-√3

=√3(√2-1)

(26)(√45+√18)-(√8-√125)=√5×3×3+√2×3×3-√2×2×2+√5×5×5=3√5+3√2-3√2+5√5

=8√5

(27)½(√2+√3)-¾(√2+√27)=¼(2√2+2√3-√2-√27)此處通分,分子不變,分母都分別乘進去了,因為不好寫就省略了

=¼(2√2+2√3-√2-√3×3×3)=¼(√2-√3)

(28)¼根號下18ab×(-2/b根號下6a²/a)=1/4×(-2/b)×√(18ab×6a²/a)=-1/(2b)×3a√(2b)

=-3a/(2b) √(2b)

(29)根號下50a²b(a<0,b>0)=√(25a²×2b)

=-5a√(2b)

(30)根號18×3/2根號20×(-1/3根號15)=-1/3×3/2×√(18×20×15)=-1/2×√5400

=-1/2×30√6

=-15√6

2樓:匿名使用者

ni shi liu zhong de?

求20道二次根式計算題,含過程和答案

3樓:樊老溼

1.x(2-√2)=(√2-2)

x(2-√2)=(√2-2)

x(2-√2)=-1(2-√2)

x=12.(√5+√

2)²-(√5-√2)²

=(√5+√2+√5-√2)(√5+√2-√5+√2)=2√5*2√2

=4√10

3.√8+3√(1/3)-1/(√2)+(√3)/2=2√2+3*(√3)/3-(√2)/2+(√3)/2=2√2+√3-(√2)/2+(√3)/2=(3/2)√3+(3/2)√2

4.(√3+√2+√5)(√3-√2-√5)=(√3+√2+√5)[√3-(√2+√5)]=(√3)²-(√2+√5)²

=3-(2+5+2√10)

=3-7-2√10

=-4-2√10

5.√8-2√32+√50

=5*3√2-2*4√2+5√2

=√2(15-8+5)

=12√2

6.√6-√3/2-√2/3

=√6-√6/2-√6/3

=√6/6

7. (√45+√27)-(√4/3+√125)=(3√5+3√3)-(2√3/3+5√5)=-2√5+7√5/3

8.(√4a-√50b)-2(√b/2+√9a)=(2√a-5√2b)-2(√2b/2+3√a)=-4√a-6√2b

9.(√32-3√3)(4√2+√27)

=(4√2-3√3)(4√2+3√3)

=(4√2)^2-(3√3)^2

=32-27

=5 10.1+√2-√3)(1-√2+√3)=[1+(√2-√3)][1-(√2-√3)]=1-(√2-√3)^2

=1-(2+3+2√6)

=-4-2√6

美女,10道夠不夠啊...球採納啊!!

20道二次根式運算題及答案

4樓:徐少

2(a+b)

解析:(√a+√b)²+(√a-√b)²

=[a+b+2√(ab)]+[a+b-2√(ab)]=2(a+b)

二次根式計算題求15道,帶答案的

5樓:楊帆

①5√8-2√32+√50

=5*3√2-2*4√2+5√2

=√2(15-8+5)

=12√2

②√6-√3/2-√2/3

=√6-√6/2-√6/3

=√6/6

③(√45+√27)-(√4/3+√125)=(3√5+3√3)-(2√3/3+5√5)=-2√5+7√5/3

④(√4a-√50b)-2(√b/2+√9a)=(2√a-5√2b)-2(√2b/2+3√a)=-4√a-6√2b

⑤√4x*(√3x/2-√x/6)

=2√x(√6x/2-√6x/6)

=2√x*(√6x/3)

=2/3*|x|*√6

⑥(x√y-y√x)÷√xy

=x√y÷√xy-y√x÷√xy

=√x-√y

⑦(3√7+2√3)(2√3-3√7)

=(2√3)^2-(3√7)^2

=12-63

=-51

⑧(√32-3√3)(4√2+√27)

=(4√2-3√3)(4√2+3√3)

=(4√2)^2-(3√3)^2

=32-27

=5 ⑨(3√6-√4)?

=(3√6)^2-2*3√6*√4+(√4)^2=54-12√6+4

=58-12√6

⑩(1+√2-√3)(1-√2+√3)

=[1+(√2-√3)][1-(√2-√3)]=1-(√2-√3)^2

=1-(2+3+2√6)

=-4-2√6

(1)5√12×√18

=5*2√3*3√2

=30√6;

(2)-6√45×(-4√48)

=6*3√5*4*4√3

=288√15;

(3)√(12a)×√(3a) /4

=√(36a^2)/4

=6a/4

=3a/2.

幫我找50道一元二次方程計算題和50道二次根式計算題(帶答案過程哦)。

6樓:百度使用者

1) 66x+17y=3967 25x+y=1200 答案

:x=48 y=47 (2) 18x+23y=2303 74x-y=1998 答案:x=27 y=79 (3) 44x+90y=7796 44x+y=3476 答案:

x=79 y=48 (4) 76x-66y=4082 30x-y=2940 答案:x=98 y=51 (5) 67x+54y=8546 71x-y=5680 答案:x=80 y=59 (6) 42x-95y=-1410 21x-y=1575 答案:

x=75 y=48 (7) 47x-40y=853 34x-y=2006 答案:x=59 y=48 (8) 19x-32y=-1786 75x+y=4950 答案:x=66 y=95 (9) 97x+24y=7202 58x-y=2900 答案:

x=50 y=98 (10) 42x+85y=6362 63x-y=1638 答案:x=26 y=62 (11) 85x-92y=-2518 27x-y=486 答案:x=18 y=44 (12) 79x+40y=2419 56x-y=1176 答案:

x=21 y=19 (13) 80x-87y=2156 22x-y=880 答案:x=40 y=12 (14) 32x+62y=5134 57x+y=2850 答案:x=50 y=57 (15) 83x-49y=82 59x+y=2183 答案:

x=37 y=61 (16) 91x+70y=5845 95x-y=4275 答案:x=45 y=25 (17) 29x+44y=5281 88x-y=3608 答案:x=41 y=93 (18) 25x-95y=-4355 40x-y=2000 答案:

x=50 y=59 (19) 54x+68y=3284 78x+y=1404 答案:x=18 y=34 (20) 70x+13y=3520 52x+y=2132 答案:x=41 y=50 (21) 48x-54y=-3186 24x+y=1080 答案:

x=45 y=99 (22) 36x+77y=7619 47x-y=799 答案:x=17 y=91 (23) 13x-42y=-2717 31x-y=1333 答案:x=43 y=78 (24) 28x+28y=3332 52x-y=4628 答案:

x=89 y=30 (25) 62x-98y=-2564 46x-y=2024 答案:x=44 y=54 (26) 79x-76y=-4388 26x-y=832 答案:x=32 y=91 (27) 63x-40y=-821 42x-y=546 答案:

x=13 y=41 (28) 69x-96y=-1209 42x+y=3822 答案:x=91 y=78 (29) 85x+67y=7338 11x+y=308 答案:x=28 y=74 (30) 78x+74y=12928 14x+y=1218 答案:

x=87 y=83 (31) 39x+42y=5331 59x-y=5841 答案:x=99 y=35 (32) 29x+18y=1916 58x+y=2320 答案:x=40 y=42 (33) 40x+31y=6043 45x-y=3555 答案:

x=79 y=93 (34) 47x+50y=8598 45x+y=3780 答案:x=84 y=93 (35) 45x-30y=-1455 29x-y=725 答案:x=25 y=86 (36) 11x-43y=-1361 47x+y=799 答案:

x=17 y=36 (37) 33x+59y=3254 94x+y=1034 答案:x=11 y=49 (38) 89x-74y=-2735 68x+y=1020 答案:x=15 y=55 (39) 94x+71y=7517 78x+y=3822 答案:

x=49 y=41 (40) 28x-62y=-4934 46x+y=552 答案:x=12 y=85 (41) 75x+43y=8472 17x-y=1394 答案:x=82 y=54 (42) 41x-38y=-1180 29x+y=1450 答案:

x=50 y=85 (43) 22x-59y=824 63x+y=4725 答案:x=75 y=14 (44) 95x-56y=-401 90x+y=1530 答案:x=17 y=36 (45) 93x-52y=-852 29x+y=464 答案:

x=16 y=45 (46) 93x+12y=8823 54x+y=4914 答案:x=91 y=30 (47) 21x-63y=84 20x+y=1880 答案:x=94 y=30 (48) 48x+93y=9756 38x-y=950 答案:

x=25 y=92 (49) 99x-67y=4011 75x-y=5475 答案:x=73 y=48 (50) 83x+64y=9291 90x-y=3690 答案:x=41 y=92 (51) 17x+62y=3216 75x-y=7350 答案:

x=98 y=25 (52) 77x+67y=2739 14x-y=364 答案:x=26 y=11 (53) 20x-68y=-4596 14x-y=924 答案:x=66 y=87 (54) 23x+87y=4110 83x-y=5727 答案:

x=69 y=29 (55) 22x-38y=804 86x+y=6708 答案:x=78 y=24 (56) 20x-45y=-3520 56x+y=728 答案:x=13 y=84 (57) 46x+37y=7085 61x-y=4636 答案:

x=76 y=97 (58) 17x+61y=4088 71x+y=5609 答案:x=79 y=45 1 2x-10.3x=15 2 0.

52x-(1-0.52)x=80 3 x/2+3x/2=7 4 3x+7=32-2x 5 3x+5(138-x)=540 6 3x-7(x-1)=3-2(x+3) 7 18x+3x-3=18-2(2x-1) 8 3(20-y)=6y-4(y-11) 9 -(x/4-1)=5 10 3[4(5y-1)-8]=6 11 10/3 (x/5+3/7)=9x/2 12 5/3(x+0.5)+2=3x-6 13 5x+2(2x/3+2)=2/3(x-6)+2 14 (2x-7)/2-(6x-5)/3=2x+3 15 (3x+2)/5-(x-6)=x/3 16 6x-(x/3+2)=2(x/5+5/2)-3 17 3(x/11-2)-5=2+3x/3 18 10/3(2x-6)=3/5 19 x/2-(x/3-2)=3 20 2/3(x+3)-3=5x/3 21 5/3(2x-5/3)=2x/5-8/9 22 25(x/3-x/2+2/5)-2=3/5(x-2/7)+4/9 23.

15-(8-5x)=7x+(4-3x) 24. 3(x-7)-2[9-4(2-x)]=22 25. 3/2[2/3(1/4x-1)-2]-x=2 26.

2(x-2)+2=x+1 27. 0.4(x-0.

2)+1.5=0.7x-0.

38 28. 30x-10(10-x)=100 29. 4(x+2)=5(x-2) 30.

120-4(x+5)=25 31. 15x+863-65x=54 32. 12.

3(x-2)+1=x-(2x-1) 33. 11x+64-2x=100-9x 34. 14.

59+x-25.31=0 35. x-48.

32+78.51=80 36. 820-16x=45.

5×8 37. (x-6)×7=2x 38. 3x+x=18 39.

0.8+3.2=7.

2 40. 12.5-3x=6.

5 41. 1.2(x-0.

64)=0.54 42. x+12.

5=3.5x 43. 8x-22.

8=1.2 44. 2(x-2)-3(4x-1)=9(1-x) 45.

11x+64-2x=100-9x 46. (3x+8)/3=41 47. x/4+9x/4=0.

25 48. 15x+8-7x=12 49. 48-(x-3)=2+x 50.

3x/6x+4x=9/2 實數計算題 1. 3/7 × 49/9 - 4/3 2. 8/9 × 15/36 + 1/27 3.

12× 5/6 – 2/9 ×3 4. 8× 5/4 + 1/4 5. 6÷ 3/8 – 3/8 ÷6 6.

4/7 × 5/9 + 3/7 × 5/9 7. 5/2 -( 3/2 + 4/5 ) 8. 7/8 + ( 1/8 + 1/9 ) 9.

9 × 5/6 + 5/6 10. 3/4 × 8/9 - 1/3 0.12χ+1.

8×0.9=7.2 (9-5χ)×0.

3=1.02 6.4χ-χ=28+4.

4 11. 7 × 5/49 + 3/14 12. 6 ×( 1/2 + 2/3 ) 13.

8 × 4/5 + 8 × 11/5 14. 31 × 5/6 – 5/6 15. 9/7 - ( 2/7 – 10/21 ) 16.

5/9 × 18 – 14 × 2/7 17. 4/5 × 25/16 + 2/3 × 3/4 18. 14 × 8/7 – 5/6 × 12/15 19.

17/32 – 3/4 × 9/24 20. 3 × 2/9 + 1/3 21. 5/7 × 3/25 + 3/7 22.

3/14 ×× 2/3 + 1/6 23. 1/5 × 2/3 + 5/6 24. 9/22 + 1/11 ÷ 1/2 25.

5/3 × 11/5 + 4/3 26. 45 × 2/3 + 1/3 × 15 27. 7/19 + 12/19 × 5/6 28.

1/4 + 3/4 ÷ 2/3 29. 8/7 × 21/16 + 1/2 30. 101 × 1/5 – 1/5 × 21 31.

50+160÷40 (58+370)÷(64-45) 32.120-144÷18+35 33.347+45×2-4160÷52 34(58+37)÷(64-9×5) 35.

95÷(64-45) 36.178-145÷5×6+42 420+580-64×21÷28 37.812-700÷(9+31×11) (136+64)×(65-345÷23) 38.

85+14×(14+208÷26) 39.(284+16)×(512-8208÷18) 40.120-36×4÷18+35 41.

(58+37)÷(64-9×5) 42.(6.8-6.

8×0.55)÷8.5 43.

0.12× 4.8÷0.

12×4.8 44.(3.

2×1.5+2.5)÷1.

6 (2)3.2×(1.5+2.

5)÷1.6 45.6-1.

6÷4= 5.38+7.85-5.

37= 46.7.2÷0.

8-1.2×5= 6-1.19×3-0.

43= 47.6.5×(4.

8-1.2×4)= 0.68×1.

9+0.32×1.9 48.

10.15-10.75×0.

4-5.7 49.5.

8×(3.87-0.13)+4.

2×3.74 50.32.

52-(6+9.728÷3.2)×2.

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