√5 ( √ 20 + √ 45 - 7√5)
-3/5+28/5.(43/56+5/24-21/63)
(7/20+11/45-15/22):11/20-26/45
Cach lam ro rang nhe
rút gọn
a)3 √5 + √20-2 √5
b)2 √2+ √8+ √50
c) 4√3+ √ 27 -√45 +2 √5
d) √ 75+ √ 48- √300
e)( √28- √12- √7) √7 +2 √21
f)( √99- √18- √11) √11+3 √22
g)3 √45-5 √125x +7 √20x+28(x>=0)
a: \(=3\sqrt{5}+2\sqrt{5}-2\sqrt{5}=3\sqrt{5}\)
b: \(=2\sqrt{2}+2\sqrt{2}+5\sqrt{2}=9\sqrt{2}\)
c: \(=4\sqrt{3}+3\sqrt{3}-3\sqrt{5}+2\sqrt{5}=7\sqrt{3}-\sqrt{5}\)
d: \(=5\sqrt{3}+4\sqrt{3}-10\sqrt{3}=-\sqrt{3}\)
e: \(=\left(\sqrt{7}-2\sqrt{3}\right)\cdot\sqrt{7}+2\sqrt{21}\)
=7-2*căn 21+2*căn 21
=7
f: \(=\left(2\sqrt{11}-3\sqrt{2}\right)\cdot\sqrt{11}+3\sqrt{22}\)
=22-3*căn 22+3*căn 22
=22
a) \(3\sqrt{5}+\sqrt{20}-2\sqrt{5}\)
\(=3\sqrt{5}+2\sqrt{5}-2\sqrt{5}\)
\(=3\sqrt{5}\)
b) \(2\sqrt{2}+\sqrt{8}+\sqrt{50}\)
\(=2\sqrt{2}+2\sqrt{2}+5\sqrt{2}\)
\(=9\sqrt{5}\)
c) \(4\sqrt{3}+\sqrt{27}-\sqrt{45}+2\sqrt{5}\)
\(=4\sqrt{3}+3\sqrt{3}-3\sqrt{5}+2\sqrt{5}\)
\(=7\sqrt{3}-\sqrt{5}\)
d) \(\sqrt{75}+\sqrt{48}-\sqrt{300}\)
\(=5\sqrt{3}+4\sqrt{3}-10\sqrt{3}\)
\(=-\sqrt{3}\)
e) \(\left(\sqrt{28}-\sqrt{12}-\sqrt{7}\right)\sqrt{7}+2\sqrt{21}\)
\(=\left(2\sqrt{7}-2\sqrt{3}-\sqrt{7}\right)\sqrt{7}+2\sqrt{21}\)
\(=\left(\sqrt{7}-2\sqrt{3}\right)\sqrt{7}+2\sqrt{21}\)
\(=7-2\sqrt{21}+2\sqrt{21}\)
\(=7\)
f) \(\left(\sqrt{99}-\sqrt{18}-\sqrt{11}\right)\sqrt{11}+3\sqrt{22}\)
\(=\left(3\sqrt{11}-3\sqrt{2}-\sqrt{11}\right)\sqrt{11}+3\sqrt{22}\)
\(=\left(2\sqrt{11}-3\sqrt{2}\right)\sqrt{11}+3\sqrt{22}\)
\(=22-3\sqrt{22}+3\sqrt{22}\)
\(=22\)
g) \(3\sqrt{45}-5\sqrt{125x}+7\sqrt{20x}+28\)
\(=9\sqrt{5}-25\sqrt{5x}+14\sqrt{5x}+28\)
\(=9\sqrt{5}-11\sqrt{5x}+28\)
sắp sếp theo thứ tự
a)38/45 ; 7/12; 17/20 ;13/ 18
b) -7/12; -5/12; -3/5
a) \(\dfrac{38}{45}=\dfrac{152}{180}\); \(\dfrac{7}{12}=\dfrac{105}{180}\); \(\dfrac{17}{20}=\dfrac{153}{180}\); \(\dfrac{13}{18}=\dfrac{130}{180}\)
Sắp xếp theo thứ tự tăng dần : \(\dfrac{7}{12}-\dfrac{13}{18}-\dfrac{38}{45}-\dfrac{17}{20}\)
b) \(-\dfrac{7}{12}=-\dfrac{35}{60};-\dfrac{5}{12}=-\dfrac{25}{60};-\dfrac{3}{5}=-\dfrac{36}{60}\)
Sắp xếp theo thứ tự tăng dần : \(-\dfrac{3}{5};-\dfrac{7}{12};-\dfrac{5}{12}\)
a: \(\dfrac{7}{12}< \dfrac{13}{18}< \dfrac{38}{45}< \dfrac{17}{20}\)
b: \(-\dfrac{3}{5}< -\dfrac{7}{12}< -\dfrac{5}{12}\)
13/20+19/20+17/23...3
7/5+5/4+9/8+3/2...4
Không tính kết quả cụ thể
8/7+11/13+23/30+39/45...4
bài 1
4/7+4
3+6/11
3-5/7
21/9-2
15/24+2
63/45-20/25
3/4-2/8
6/7-5/8
37/45-5/9
46/39-11/13
5/12+3/4+1/3
1/2+3/7+11/14
7/10-(1/5+1/4)
15/4-2/3-3/4
`4/7+4`
`=4/7+4/1`
`=4/7+28/7`
`=32/7`
__
`3+6/11`
`=33/11+6/11`
`=39/11`
__
`3-5/7`
`=3/1-5/7`
`=21/7-5/7`
`=16/7`
__
`21/9-2`
`=21/9-18/9`
`=3/9`
`=1/3`
__
`15/24+2`
`=15/24+48/24`
`=63/24`
`=21/16`
__
`63/45-20/25`
`=63/45-4/5`
`=63/45-36/45`
`=27/45`
`=9/15`
__
`3/4-2/8`
`=3/4-1/4`
`=2/4`
__
`6/7-5/8`
`=48/56-35/56`
`=13/56`
__
`37/45-5/9`
`=37/45-25/45`
`=12/45`
`=4/15`
__
`46/39-11/13`
`=46/39-33/39`
`=13/39`
`=1/2`
__
`5/12+3/4+1/3`
`=5/12+9/12+4/12`
`=14/12+4/12`
`=18/12`
`=3/2`
__
`1/2+3/7+11/14`
`=7/14+6/14+11/14`
`=13/14+11/14`
`=24/14`
`=12/7`
__
`7/10-(1/5+1/4)`
`=7/10-(4/20+5/20)`
`=7/10-9/20`
`=14/20-9/20`
`=5/20`
`=1/4`
__
`15/4-2/3-3/4`
`=(15/4-3/4)-2/3`
`=12/4-2/3`
`=3-2/3`
`=9/3-2/3`
`=7/3`
4) 87+(-45)-(-79)
5) (-15)+45-62
6) 120: (-5)+72
7) -147-130: (-13)
8) 125. (-8) : (-25). (-7)
9) 25-18+(-43)
10) -18-3.(-20)
4) 121
5) - 32
6) 48
7) - 137
8) - 280
9) - 36
10) 42
4) 41
5) -32
6) 48
7) -137
8) -280
9) -36
10) 42
tính nhanh
a, 4/5 * 3/7 + 4/5 * 4/7
b, 20 * 45 + 55 * 20/35 * 1996 - 1991 * 35
c, (1 - 1/2) * (1 - 1/3) * (1 - 1/4) * (1 - 1/5)
a) 4/5(3/7+4/7)=4/5
câu b,c cũng dễ
a) 4/5 x 3/7 + 4/5 x 4/7
= 4/5 x ( 3/7 + 4/7 )
= 4/5 x 1
= 4/5
a) 4/5 x ( 3/7 + 4/7 )
= 4/5 x 1
= 4/5
b) 20 x 45 + 55 x 20 : 35 x 1996 - 1991 x 35
= 20 x ( 45 + 55 ) : 35 x ( 1996 - 1991 )
= 20 x 100 : 35 x 5
= 5 x 4 x 100 : 35 x 5
= 5 x 400 : 35 x 5
= \(\frac{5\cdot400}{35\cdot5}\Rightarrow=\frac{400}{35}.\)
a)3-5/3=...
15/7-2=...
b)36/21-15/20=...
63/45-20/25=...
a) \(3-\dfrac{5}{3}=\dfrac{1}{3};\dfrac{15}{7}-2=\dfrac{1}{7}\)
Giải phương trình
a.5√2x + 1 = 21
b. √4x + 20 - 3√5 + x + 7√9x + 45 = 20