(√8/3 -√24+√50/3).√6
tính
(√6+2)(√3-√2)
(√8/3-√24+√50/3)
a/ \(\left(\sqrt{6}+2\right)\left(\sqrt{3}-\sqrt{2}\right)=\sqrt{2}\left(\sqrt{3}+2\right)\left(\sqrt{3.1}-\sqrt{2.1}\right)=\sqrt{2}\left(3-2\right)=\sqrt{2}\)
b/ \(\left(\sqrt{\frac{8}{3}-\sqrt{24}+\sqrt{\frac{50}{3}}}\right)=-\frac{4\sqrt{6}}{3}+\frac{5\sqrt{6}}{3}=\frac{\sqrt{6}}{3}\)
a/ \(=\sqrt{2}\left(\sqrt{3}+\sqrt{2}\right)\left(\sqrt{3}-\sqrt{2}\right)=\sqrt{2}\left(3-2\right)=\sqrt{2}\)
b/ \(=\frac{2\sqrt{2}-2\sqrt{6}+5\sqrt{2}}{3}=\frac{-2\sqrt{6}+7\sqrt{2}}{3}\)
Bài 1. Tính hợp lý
1) (–12) +6.(–3)
2) (36 -2020) + (2019 -136) – 27
3) (144 – 97) – (244 – 197)
4) (–24).13 – 24.( –3)
5) 54+55+56+57+58-(64+65+66+67+68)
6) 24(16 – 5) – 16(24 – 5)
7) 47.(23 + 50) – 23.(47 + 50)
8) (-31). 47 + (-31). 52 + (-31)
Bài 2: Tìm số nguyên x, biết:
1)-17-(2x-5)=-6
2) 10-2(4-3x)=-4
3)-12+3(-x+7)=-18
4)-45:[5.(-3-2x)]=3
5) x.(x+3)=0
6) (x-2).(x+4)=0
7) x.(x+1).(x-3)=0
Bài 1:
1) Ta có: \(\left(-12\right)+6\cdot\left(-3\right)\)
\(=-12-18\)
=-30
2) Ta có: \(\left(36-2020\right)+\left(2019-136\right)-27\)
\(=36-2020+2019-136-27\)
\(=1-100-27\)
\(=-126\)
3) Ta có: \(\left(144-97\right)-\left(244-197\right)\)
\(=144-97-244+197\)
\(=-100+100=0\)
4) Ta có: \(\left(-24\right)\cdot13-24\cdot\left(-3\right)\)
\(=-24\cdot13+24\cdot3\)
\(=24\cdot\left(-13+3\right)\)
\(=24\cdot\left(-10\right)=-240\)
5) Ta có: \(54+55+56+57+58-\left(64+65+66+67+68\right)\)
\(=54+55+56+57+58-64-65-66-67-68\)
\(=\left(54-64\right)+\left(55-65\right)+\left(56-66\right)+\left(57-67\right)+\left(58-68\right)\)
\(=\left(-10\right)+\left(-10\right)+\left(-10\right)+\left(-10\right)+\left(-10\right)\)
=-50
6) Ta có: \(24\cdot\left(16-5\right)-16\cdot\left(24-5\right)\)
\(=24\cdot16-24\cdot5-16\cdot24+16\cdot5\)
\(=-24\cdot5+16\cdot5\)
\(=5\cdot\left(-24+16\right)\)
\(=-5\cdot8=-40\)
7) Ta có: \(47\cdot\left(23+50\right)-23\cdot\left(47+50\right)\)
\(=47\cdot23+47\cdot50-23\cdot47-23\cdot50\)
\(=47\cdot50-23\cdot50\)
\(=50\cdot\left(47-23\right)\)
\(=50\cdot24=1200\)
8) Ta có: \(\left(-31\right)\cdot47+\left(-31\right)\cdot52+\left(-31\right)\)
\(=-31\cdot\left(47+52+1\right)\)
\(=-31\cdot100=-3100\)
Bài 2:
1) Ta có: \(-17-\left(2x-5\right)=-6\)
\(\Leftrightarrow-17-2x+5+6=0\)
\(\Leftrightarrow-2x-6=0\)
\(\Leftrightarrow-2x=6\)
hay x=-3
Vậy: x=-3
2) Ta có: \(10-2\left(4-3x\right)=-4\)
\(\Leftrightarrow10-8+6x+4=0\)
\(\Leftrightarrow6x+6=0\)
\(\Leftrightarrow6x=-6\)
hay x=-1
Vậy: x=-1
3) Ta có: \(-12+3\left(-x+7\right)=-18\)
\(\Leftrightarrow-12-3x+21+18=0\)
\(\Leftrightarrow-3x+27=0\)
\(\Leftrightarrow-3x=-27\)
hay x=9
Vậy: x=9
4) Ta có: \(-45:\left[5\cdot\left(-3-2x\right)\right]=3\)
\(\Leftrightarrow5\cdot\left(-3-2x\right)=-15\)
\(\Leftrightarrow-2x-3=-3\)
\(\Leftrightarrow-2x=0\)
hay x=0
Vậy: x=0
5) Ta có: x(x+3)=0
\(\Leftrightarrow\left[{}\begin{matrix}x=0\\x+3=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=0\\x=-3\end{matrix}\right.\)
Vậy: \(x\in\left\{0;-3\right\}\)
6) Ta có: (x-2)(x+4)=0
\(\Leftrightarrow\left[{}\begin{matrix}x-2=0\\x+4=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=2\\x=-4\end{matrix}\right.\)
Vậy: \(x\in\left\{2;-4\right\}\)
7) Ta có: \(x\left(x+1\right)\left(x-3\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=0\\x+1=0\\x-3=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=0\\x=-1\\x=3\end{matrix}\right.\)
Vậy: \(x\in\left\{0;-1;3\right\}\)
Bài 1:
1) Ta có: (−12)+6⋅(−3)(−12)+6⋅(−3)
=−12−18=−12−18
=-30
2) Ta có: (36−2020)+(2019−136)−27(36−2020)+(2019−136)−27
=36−2020+2019−136−27=36−2020+2019−136−27
=1−100−27=1−100−27
=−126
Tớ chcs cậu học thật giỏi nha !
Tìm X E Z, biết :
1, 8*(x-/-7/)-6*(x-2)=/-8/*6-50
2,3*/x-3/=15-/-9/+7*/-3/-(-24)
-4(5-x)=-3(6-x)
-3(x-8)-(2x-7)=35
2. Tính tổng
1+(-2)+3+(-4)+...+49+(-50)
1-2+3-4+...+99-100
2-4+6-8+...+49-50
Tính hợp lý
24(16-5)-16(24-5)
29-(19-13)-19(29*13)
31*(-18)+31*(-81)-31
(-12)*47+(-12)*52+(-12)
13(23+22)-3(17+28)
rút gọn các phân số sau 3/8 ; 6/10 ; 1/2 ; 3/4 ; 12/24 ; 15/40 ; 50/100 ; 30/80 ; 19/38 ; 75/100
2/9,7/9,1 nửa,2/2,
Còn lại bó tay bởi vì em mới lên lớp 3 thôi à!
Bài 1: Tìm số hạng thứ n của các dãy số sau:
a) 3, 8, 15, 24, 35, ...
b) 3, 24, 63, 120, 195, ...
c) 1, 3, 6, 10, 15, ...
d) 2, 5, 10, 17, 26, ...
e) 6, 14, 24, 36, 50, ...
f) 4, 28, 70, 130, 208, ...
g) 2, 5, 9, 14, 20, ...
h) 3, 6, 10, 15, 21,
i) 2, 8, 20, 40, 70, ...
a) n(n+2)
b) (3n-2)3n
c) ( 1) 1 n n 2
d) 1+n2 e) n(n+5)
f) (3n-2)(3n+1)
g) n ( n 3) 2 n n
h) ( 1)( 2) 2
i) n ( n 1)( n 2)
Tính:
a) \(\left( { - 3} \right).7\)
b) \(\left( { - 8} \right).\left( { - 6} \right)\)
c) \(\left( { + 12} \right).\left( { - 20} \right)\)
d) \(24.\left( { + 50} \right)\)
a) \(\left( { - 3} \right).7 = - \left( {3.7} \right) = - 21\)
b) \(\left( { - 8} \right).\left( { - 6} \right) = 8.6 = 48\)
c) \(\left( { + 12} \right).\left( { - 20} \right) = - \left( {12.20} \right) = - 240\)
d) \(24.\left( { + 50} \right) = 24.50 = 1200\)
1/ 10(X-7)-8(X+5)=6(-5)+24
2/ 8(X-|-7|)-6(X-2)=|-8|.6-50
3/ 2(4X-8)-7(3+X)=|-4|(3-2)
4/ 12(X-4)=6(x-2)-16(X+3)=7|-4|
5/ 4(X-5)-7(5-X)+10(5-X)=-3
bn nào giải giúp mik vs nha:)))
1/ 10(X-7)-8(X+5)=6(-5)+24
10x - 70 - 8x - 40 = -30 +24
2x - 110 = -6
2x = 104
x=52
2/ 8(X-|-7|)-6(X-2)=|-8|.6-50
8(x - 7) - 6(x-2) = 8.6 - 50
8x - 56 - 6x +12 =48 -50
2x - 44 = -2
2x = 42
x=21
3/ 2(4X-8)-7(3+X)=|-4|(3-2)
8x-16 - 21 - 7x = 4.1
x-37=4
x=41
4/ 12(X-4)=6(x-2)-16(X+3)=7|-4|
12x - 48 = 6x - 12 - 16x -48 =7.4
12x - 48 = 28
12x=76
x=19/3
5/ 4(X-5)-7(5-X)+10(5-X)=-3
4x - 20 -35 +7x + 50 -10x = -3
x - 5 = -3
x = -2
Chúc bạn học tốt!
a) 25 - 53 : 52 + 12 : 22
b) 5 [ ( 85 - 35 : 7 ) : 8 + 90 ] - 50
c) 2. [ ( 7 - 33 : 32 ) 22 + 99 ] - 100
d) 27 : 22 + 54 : 53 . 24 - 3 . 25
e) ( 35 . 37 ) : 310 + 5 . 24 - 73 : 7
f) 32 . [ ( 52 - 3 ) : 11 ] - 24 + 2 . 103
g) ( 62007 - 62006 ) : 62006
h) ( 52001 - 52000 ) : 52000
i) ( 72005 + 72004 ) : 72004
j) ( 57 + 75 ) . ( 68 + 86 ) . ( 24 - 42 )
k) ( 57 + 79 ) . ( 54 + 56 ) . ( 33 . 3 - 92 )
l) [ ( 52 . 23) - 72 . 2 ) : 2 ] 6 - 7 . 25