89+64-37+732-57+38-93+29-397=?
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23.\(\sqrt{14-2\sqrt{33}}=\sqrt{\left(\sqrt{11}\right)^2-2.\sqrt{11}.\sqrt{3}+\left(\sqrt{3}\right)^2}\)
\(=\sqrt{\left(\sqrt{11}-\sqrt{3}\right)^2}=\left|\sqrt{11}-\sqrt{3}\right|=\sqrt{11}-\sqrt{3}\)
28. \(\sqrt{25-4\sqrt{6}}=\sqrt{\left(2\sqrt{6}\right)^2-2.2\sqrt{6}.1+1^2}=\sqrt{\left(2\sqrt{6}-1\right)^2}\)
\(=\left|2\sqrt{6}-1\right|=2\sqrt{6}-1\)
29.\(\sqrt{14-8\sqrt{3}}=\sqrt{14-2\sqrt{48}}=\sqrt{\left(\sqrt{8}\right)^2-2\sqrt{6}.\sqrt{8}+\left(\sqrt{6}\right)^2}\)
\(=\sqrt{\left(\sqrt{8}-\sqrt{6}\right)^2}=\left|\sqrt{8}-\sqrt{6}\right|=\sqrt{8}-\sqrt{6}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a) -23/-17 = 23/17
-13/-17 = 13/17
Vì 23>13 => 23/17>13/17
Vậy -23/-17>-13/-17
b) -57/53 = -5301/4929
-97/93 = -5141/4929
Vì -5301<-5141 => -5141/4929< -5301/4929
Vậy -97/93<-57/53
c) 81/-89 = -81/89
-21/29 = -1869/2581
-81/89 = -2349/2581
Vì -1869>-2349 => -2349/2581>-1869/2581
Vậy 81/-89>-21/29
![](https://rs.olm.vn/images/avt/0.png?1311)
2 . 53 . 27 + 6 . 9 . 87 - 3 . 18 . 40
= 2. 53 . 9 . 3 + 2. 3 .9 .87 - 3 .2 .9 .40
= 54.53+54.87-54.40
=54(53+87-40)
=54. 100=5400
12 . 25 + 29 . 25 + 59 . 25
= 25 . ( 12+29+59)
=25 . 90
=2250
43 . 37 + 93 . 43 + 57 . 61 + 69 . 57
= 43.(37+93)+57(61+69)
=43.130+57.130
=130.(43+57)
=130.100
=13 000
12 . 53 + 53 . 172 - 53
=53(12+172-1)
=53.184
=9752
35 . 54 + 35 . 58 + 65 . 75 + 65 . 45
=35(54+58)+65(75+45)
=35.112+65.120
=3920+7800
=11720
39 . 8 + 70 . 3 + 31 . 8
=8(39+31)+70.3
=8.70+70.3
=70.(8+3)
=70.11
=770
![](https://rs.olm.vn/images/avt/0.png?1311)
\(a,C1=744+186\\ =930\\ C2=93\times\left(8+2\right)\\ =93\times10=930\\ b,C1:=324+576\\ =900\\ C2=9\times\left(36+64\right)\\ =9\times100\\ =900\\ c,C1=456-399\\ =57\\ C2=57\times\left(8-7\right)\\ =57\)
\(a)\)\(93\times8+93\times2\)
\(=98\times\left(8+2\right)\)
\(=98\times10\)
\(=980\)
\(b)36\times9+64\times9\)
\(=9\times\left(36+64\right)\)
\(=9\times100\)
\(=900\)
\(c)57\times8+57\times7\)
\(=57\times\left(8-7\right)\)
\(=57\times1\)
\(=57\)
![](https://rs.olm.vn/images/avt/0.png?1311)
e, (-25).(-13).8.(-4).125
= (-25).(-4).8.125.(-13)
= 100.1000.(-13)=-1300000
f, 38.(-43)+43.(-79)-(-43).17
= 38.(-43)+(-43).79-(-43).17
= (-43).(38+79-17)
= (-43).100=-4300
a) ( -7) . 11 + 7 . ( - 89 )
= 7 . (-11) + 7 . (-89)
= 7 . [(-11)+(-89)]
= 7 . (-100)
= -700
89+64-37+732-57+38-93+29-397=368
K nhé?
=368
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