Ta có:

1+2+3-4-5-6+7+8+9-..........+55+56+57-58-59-60

=(1+2+3-4-5-6)+(7+8+9-10-11-12)..........+(55+56+57-58-59-60)

=  -3+ (-3)+...+(-3)

---12 số------------

=(-3).12

=-36

cách làm như thế nào hở bn

mik bit roi nhung ko biet cach trinh bay

\(A=\frac{3}{5.7}+\frac{3}{7.9}+\frac{3}{9.11}+...+\frac{3}{59.61}\)

\(A=\frac{3}{2}\left(\frac{2}{5.7}+\frac{2}{7.9}+\frac{2}{9.11}+...+\frac{2}{59.61}\right)\)

\(A=\frac{3}{2}\left(\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+\frac{1}{9}-\frac{1}{11}+...+\frac{1}{59}-\frac{1}{61}\right)\)

\(A=\frac{3}{2}\left(\frac{1}{5}-\frac{1}{61}\right)\)

\(A=\frac{84}{305}\)

60) \(\sqrt{7-3\sqrt{5}}=\dfrac{\sqrt{14-6\sqrt{5}}}{\sqrt{2}}=\dfrac{\left(3-\sqrt{5}\right)}{\sqrt{2}}=\dfrac{3\sqrt{2}-\sqrt{10}}{2}\)

59) \(\sqrt{6+\sqrt{35}}=\dfrac{\sqrt{12+2\sqrt{35}}}{\sqrt{2}}=\dfrac{\sqrt{7}+\sqrt{5}}{\sqrt{2}}=\dfrac{\sqrt{14}+\sqrt{10}}{2}\)

61) \(\sqrt{23+3\sqrt{5}}=\dfrac{\sqrt{46+6\sqrt{5}}}{\sqrt{2}}=\dfrac{3\sqrt{5}+1}{\sqrt{2}}=\dfrac{3\sqrt{10}+\sqrt{2}}{2}\)

62) \(\sqrt{7-\sqrt{33}}=\dfrac{\sqrt{14-2\sqrt{33}}}{\sqrt{2}}=\dfrac{\sqrt{11}-\sqrt{3}}{\sqrt{2}}=\dfrac{\sqrt{22}-\sqrt{6}}{2}\)

63) \(\sqrt{8+\sqrt{55}}=\dfrac{\sqrt{16+2\sqrt{55}}}{\sqrt{2}}=\dfrac{\sqrt{11}+\sqrt{5}}{\sqrt{2}}=\dfrac{\sqrt{22}+\sqrt{10}}{2}\)

a. 5/12+(7/59+7/12)

=5/12+497/708

=66/59

b.(7/30+5/16)+(1/16-7/30)

=131/240+(-41/240)

=3/8

a)  \(\frac{5}{12}+\left(\frac{7}{59}+\frac{7}{12}\right)\)

\(=\frac{5}{12}+\frac{7}{59}+\frac{7}{12}\)

\(=\left(\frac{5}{12}+\frac{7}{12}\right)+\frac{7}{59}\)

\(=1\frac{7}{59}\)

b)  \(\left(\frac{7}{30}+\frac{5}{16}\right)+\left(\frac{1}{16}-\frac{7}{30}\right)\)

\(=\frac{7}{30}+\frac{5}{16}+\frac{1}{16}-\frac{7}{30}\)

\(=\frac{6}{16}=\frac{3}{8}\)

c)  \(\frac{3}{5.9}+\frac{3}{9.13}+\frac{3}{13.17}+...+\frac{3}{2013.2017}\)

\(=\frac{3}{4}\left(\frac{1}{5}-\frac{1}{9}+\frac{1}{9}-\frac{1}{13}+\frac{1}{13}-\frac{1}{17}+...+\frac{1}{2013}-\frac{1}{2017}\right)\)

\(=\frac{3}{4}\left(\frac{1}{5}-\frac{1}{2017}\right)\)

\(=\frac{1509}{10085}\)

1+2+3-4-5-6+7+8+9+...+55+56+57-58-59-60

=(1+2+3-4-5-6)+(7+8+9-10-11-12)+.......+(55+56+57-58-59-60)

=(-9)+(-9)+......+(-9)

còn lại bạn làm theo cách tính tổng của dãy là đc

A = ( 6 : 3/5 - 7/6  * 6/7 ) : ( 21/5 * 10/11 + 57/11 )

A = ( 10 -  1 )  : ( 42/11 + 57/11)

A =    9   :  9

A =       1

B = 59 /10 : 3/2 - ( 7/3 * 9/2 - 2 * 7/3 ) : 7/4

B =   59/15  - (  21/2 -  14/3 )  : 7/4

B =    59/15 - 35/6 : 7/4

B  =    59/15 - 10/3

B  =         3/5

cảm ơn bạn nhiều nha

còn câu C thì sao

Bài 1: Tìm \(x\) 

a; \(x-2\) + 7 = 1.3.(-9)

   \(x\) - 2 + 7 = 3.(-9)

   \(x\) - 2 + 7 = - 27

  \(x\)             = - 27 - 7 + 2

   \(x\)            = - 34 + 2

   \(x\)            = - 32

Vậy \(x=-32\)

Bài 1

c; - 2\(x\) + 5 = 7

     - 2\(x\)       = 7  - 5

    - 2\(x\)        = - 2

        \(x\)        = -2 : (-2)

        \(x\)        = - 1

Vậy \(x\)         = - 1

Bài 1 b; d xem lại đề bài xem chỗ trống giữa các số là dấu gì!