1) -1

2) -1326

3) 90

50) \(\sqrt{98-16\sqrt{3}}=4\sqrt{6}-\sqrt{2}\)

51) \(\sqrt{2-\sqrt{3}}=\dfrac{\sqrt{4-2\sqrt{3}}}{\sqrt{2}}=\dfrac{\sqrt{3}-1}{\sqrt{2}}=\dfrac{\sqrt{6}-\sqrt{2}}{2}\)

52) \(\sqrt{4+\sqrt{15}}=\dfrac{\sqrt{8+2\sqrt{15}}}{\sqrt{2}}=\dfrac{\sqrt{5}+\sqrt{3}}{\sqrt{2}}=\dfrac{\sqrt{10}+\sqrt{6}}{2}\)

53) \(\sqrt{5-\sqrt{21}}=\dfrac{\sqrt{10-2\sqrt{21}}}{\sqrt{2}}=\dfrac{\sqrt{14}-\sqrt{6}}{2}\)

54) \(\sqrt{6-\sqrt{35}}=\dfrac{\sqrt{12-2\sqrt{35}}}{\sqrt{2}}=\dfrac{\sqrt{14}-\sqrt{10}}{2}\)

55) \(\sqrt{2+\sqrt{3}}=\dfrac{\sqrt{4+2\sqrt{3}}}{\sqrt{2}}=\dfrac{\sqrt{6}+\sqrt{2}}{2}\)

56) \(\sqrt{4-\sqrt{15}}=\dfrac{\sqrt{8-2\sqrt{15}}}{\sqrt{2}}=\dfrac{\sqrt{10}-\sqrt{6}}{2}\)

Can bac 8

a: =>-2x=9-17=-8

hay x=4

b: =>15-x=-10

hay x=25

d: \(\Leftrightarrow9x^2=81\)

hay \(x\in\left\{3;-3\right\}\)

e: \(\Leftrightarrow\left[{}\begin{matrix}2x-4=0\\3-x=0\end{matrix}\right.\Leftrightarrow x\in\left\{2;3\right\}\)

\(1,=38-42+14-25+27+15=27\)

\(2,=12+21-23+21-10=21\)

\(3,=57-725-605+53=-1220\)

\(4,=55+45+15-15+55-45=110\)

\(\text{1.(38-42+14)-(25-27-15)}\\ =38-42+14-25+27+15\\ =-4-11+42\\ =27\)

\(\text{2.(12+21)-(23-21+10)}\\ =12+21-23+21-10\\ =33+44-10=67\)

 Đáp án...

d ] [ 12 + 21 - 23 ] - [ 23 - 21 + 10 ]

    = 10 - 22 

    = - 12

e  [ 57 - 752 ] - [ 605 - 53 ] 

    = -695 - 552

    = -1247

b: =>15-x=-10

hay x=25

a: =>-2x+17=9

=>-2x=-8

hay x=4

d: \(\Leftrightarrow9x^2=81\)

hay \(x\in\left\{3;-3\right\}\)

e: \(\Leftrightarrow\left[{}\begin{matrix}2x-4=0\\3-x=0\end{matrix}\right.\Leftrightarrow x\in\left\{2;3\right\}\)

Lằng nhằng vậy😅

a) -(12+21-23)-(23-21+10)

 =-12-21+23-23+21-12=-12-12=-24

b)(57-725)-(605-53)

 =57-725-605+53=-1220

c)(55+45+45)-(15-55+45)

 =55+45+45-15+55-45=110+45-15=140

-(12+21-23)-(23-21+10)

=-12-21+23-23+21-10

=(21-21)+(23-23)-(12+10)

=0+0-22=-22

(57-725)-(605-53)

=57-725-605+53

=(57+53)-(725+605)

=110-1330

=-1220 

(55+45+45)- (15-55+45)

=55+45+45-15+55-45

=(45+55)+(55-15)+(45-45)

=100+40+0=140

-(12+21-23) - (23-21+10) = -12 - 21 + 23 - 23 + 21 - 10 = (-12-10) + (21-21) + (23-23) = -22 + 0 + 0 = -22

(57 - 725) - (605 - 53) = 57 - 725 - 605 + 53 = (57 + 53) - (725 + 605) = 110 - 1330 = 1220

(55 + 45 + 45) - (15 - 55 + 45) = 55 + 45 + 45 - 15 + 55 - 45 = (55 + 55) + (45 - 45) + (45 - 15)

= 110 + 0 + 30 = 140

Bài 1:

1: =15+37+52-37-17=52-2=50

2: =38-42+14-25+27+15=62-42+29=20+29=49

Bài 1: Bỏ ngoặc rồi tính

3) (21-32) - (-12+32)=21-32-(-12)-32=21-32+12-32=-31

4) (12+21) - (23-21+10)=12+21-23+21-10=21

5) (57-725) - (605-53)=57-725-605+53=-1220

6) (55+45+15) - (15-55+45)=55+45+15-15+55-45=55+55=110

Bài 2: Tính các tổng sau một cách hợp lí

1) (-37) + 14 + 26 + 37=(-37+37)+(14+26)=0+40=40

2) (-24) +6 + 10 + 24=(-24+24)+(6+10)=0+16=16

3) 15 + 23 + (-25) + (-23)=(15-25)+(23-23)=-10+0=-10

4) 60 + 33 + (-50) + (-33)=(60-50)+(33-33)=10+0=10

5) (-16) + (-209) + (-14) + 209=(-16-14)+(-209+209)=-30+0=-30

6) (-12) + (-13) + 36 + (-11)=(-11-12-13)+36=-36+36=0

=15+37+52-37-17 =(37-37)+52+15-17 =0+52+15-17 =67-17 =50

(38 – 42 + 14) – (25 – 27 – 15) =38-42+14-25+27+15 =27 c. -(21 – 32) – (-12 + 32) =-21+32+12-32 =-9 d. -(12 + 21 – 23) - (23 – 21 + 10) =-12-21+23-23+21-10 =-22 e. (57 – 725) – (605 – 53) =57-725-605+53 =-1220 f. (55 + 45 + 15) – (15 – 55 + 45) =55+45+15-15+55-45 =110

mài sảng à :)

cái đ j v? mộng du :) ?

ngáo cần à

khám trong bv tâm thần ch bạn!

S = 5 + 5² + 5³ + 5⁴ + ... + 5²⁰¹²

= (5 + 5² + 5³ + 5⁴) + (5⁵ + 5⁶ + 5⁷ + 5⁸) + ... + (5²⁰⁰⁹ + 5²⁰¹⁰ + 5²⁰¹¹ + 5²⁰¹²)

= 780 + 5⁴.(5 + 5² + 5³ + 5⁴) + ... + 5²⁰⁰⁸.(5 + 5² + 5³ + 5⁴)

= 780 + 5⁴.780 + ... + 5²⁰⁰⁸.780

= 65.12 + 5⁴.65.12 + ... + 5²⁰⁰⁸.65.12

= 65.12(1 + 5⁴ + ... + 5²⁰⁰⁸) ⋮ 65

Vậy S ⋮ 65

giúp minh với ạ

\(S=5\left(1+5+5^2+5^3\right)+5^5\left(1+5+5^2+5^3\right)+...+5^{2009}\left(1+5+5^2+5^3\right)\)

\(=156\left(5+5^5+...+5^{2009}\right)\)

\(=780\cdot\left(1+5^4+...+5^{2008}\right)⋮65\)