\(\frac{5}{22}\cdot\frac{33}{17}+\frac{15\cdot101}{34}-\frac{30}{34}=\frac{5\cdot11\cdot3}{17\cdot11\cdot2}+\frac{15\cdot101-15\cdot2}{34}=\frac{15}{34}+\frac{15.99}{34}\)

=100*15/34=1500/34 (bấm máy tính) = 44.1176471....

22,

1, Đặt √(3-√5) = A

=> √2A=√(6-2√5)

=> √2A=√(5-2√5+1)

=> √2A=|√5 -1|

=> A=\(\dfrac{\sqrt{5}-1}{\text{√2}}\)

=> A= \(\dfrac{\sqrt{10}-\sqrt{2}}{2}\)

2, Đặt √(7+3√5) = B

=> √2B=√(14+6√5)

 => √2B=√(9+2√45+5)

=> √2B=|3+√5|

=> B= \(\dfrac{3+\sqrt{5}}{\sqrt{2}}\)

=> B= \(\dfrac{3\sqrt{2}+\sqrt{10}}{2}\)

3, 

Đặt √(9+√17) - √(9-√17) -\(\sqrt{2}\)=C

=> √2C=√(18+2√17) - √(18-2√17) -\(2\)

=> √2C=√(17+2√17+1) - √(17-2√17+1) -\(2\)

=> √2C=√17+1- √17+1 -\(2\)

=> √2C=0

=> C=0

26,

|3-2x|=2\(\sqrt{5}\)

TH1: 3-2x ≥ 0 ⇔ x≤\(\dfrac{-3}{2}\)

3-2x=2\(\sqrt{5}\)

-2x=2\(\sqrt{5}\) -3

x=\(\dfrac{3-2\sqrt{5}}{2}\) (KTMĐK)

TH2: 3-2x < 0 ⇔ x>\(\dfrac{-3}{2}\)

3-2x=-2\(\sqrt{5}\)

-2x=-2√5 -3

x=\(\dfrac{3+2\sqrt{5}}{2}\) (TMĐK)

Vậy x=\(\dfrac{3+2\sqrt{5}}{2}\)

2, \(\sqrt{x^2}\)=12 ⇔ |x|=12 ⇔ x=12, -12

3, \(\sqrt{x^2-2x+1}\)=7

⇔ |x-1|=7 

TH1: x-1≥0 ⇔ x≥1

x-1=7 ⇔ x=8 (TMĐK)

TH2: x-1<0 ⇔ x<1

x-1=-7 ⇔ x=-6 (TMĐK)

Vậy x=8, -6

4, \(\sqrt{\left(x-1\right)^2}\)=x+3

⇔ |x-1|=x+3

TH1: x-1≥0 ⇔ x≥1

x-1=x+3 ⇔ 0x=4 (KTM)

TH2: x-1<0 ⇔ x<1

x-1=-x-3 ⇔ 2x=-2 ⇔x=-1 (TMĐK)

Vậy x=-1

a) (-15)+ 7. (-3)

=-15-21=-36

b) 21.(17-34)-22.(-15)

=21.(-17)+330=-357+330=-27

c) (-15).(-37)+(-6).9

=555-54=501

d) (-27).(-58)-(-14).8

=1566+112=1678

a) (-15)+ 7. (-3)

=(-15)+ (-21)=-36

b)21.(17-34)-22.(-15)

=21.(-17)-(-330)=(-357)-(-330)=-27

c) (-15).(-37)+(-6).9

=555+(-54)=501

d) (-27).(-58)-(-14).8

=1566-(-112)=1678

a) (-15) + 7.(-3)

= (-15) + (-21)

= -36.

b) 21.(17 - 34) - 22.(-15)

= 21.(-17) - (-330)

= 21.(-17) + 330

= (-357) + 330

= -27.

c) (-15).(-37) + (-6).9

= 555 + (-54)

= 501.

d) (-27).(-58) - (-14).8

= (-27).(-58) + 14.8

= 1566 + 112

= 1678.

1: =234+26=260

2: =-22x100=-2200

8/3 nha bạn

a: \(4\cdot3^3-75:5^2\)

\(=4\cdot27-\dfrac{75}{25}\)

=108-3

=105

b: \(7\cdot2^4-16\cdot3\)

\(=16\cdot7-16\cdot3\)

=16(7-3)

=16*4=64

c: \(2^3\cdot17-2^3\cdot14\)

\(=8\cdot17-8\cdot14\)

=8(17-14)

=8*3

=24

d: \(45+\dfrac{54}{3^2}\)

\(=45+\dfrac{54}{9}\)

=45+6

=51

e: \(17\cdot85+15\cdot17-120\)

\(=17\left(85+15\right)-120\)

=1700-120

=1580

f: \(\dfrac{3^{24}}{3^{21}}+2^2\cdot2^3\)
 

\(=3^3+2^5\)

=27+32

=59

g: \(92+4^3:8\)

=92+64/8

=92+8

=100

h: \(5\cdot2^3+7^{11}:7^9-1^{2023}\)

\(=5\cdot8+49-1\)

=40+48

=88

là 8 phần 3

21/22*44/17*68/13=21/1*44/1*4*13

=3696/13

\(\frac{21}{22}\)x \(\frac{44}{17}\)x \(\frac{68}{63}\)

= \(\frac{21}{22}\)x \(\frac{176}{63}\)

= \(\frac{8}{3}\)

Bạn ơi số âm phải có dấu ngoặc nhé để không bị lộn với dấu trừ

(-15)+17-22+15-17+22=0

5-14+52-4+14-52+4=5

K mình nhé! ^_^

a) -15 + 17 - 22 + 15 - 17 + 22

 = (-15 + 15) + (17 - 17) + (-22 + 22)

= 0 + 0 + 0

=0

b) 5 - 14 + 52 - 4 + 14 - 52 + 4

= 5 + (-14 + 14) + (52 - 52) + (-4 + 4)

= 5 + 0 + 0 + 0

= 5

Chúc bạn học tốt !

cảm ơn cún kì lân đã góp ý nha