23/4+2/3=77/12

\(=\dfrac{23}{4}+\dfrac{2}{3}=\dfrac{77}{12}\)

\(\text{13.58.4+32.26.2+52.10}\)

\(\text{=(13.4).58 + (26.2)32 + 52.10}\)

\(\text{=52.58+52.32+52.10}\)

\(\text{=52(58+32+10)}\)

\(\text{=52.100}\)

\(\text{= 5200}\)

13 x 58 x 4 + 32 x 26 x 2 + 52 x 10

= 13 x 4 x 58 + 32 x 52 + 52 x 10

= 52 x 58 + 32 x 52 + 52 x 10

= 52 x ( 58 + 32 + 10 )

= 52 x 100

= 5200

Nãy h nhìn kĩ thì đã biết rồi nhưng cảm ơn bạn đã giúp

\(13\times58\times4+32\times26\times2+52\times10\)

\(=13\times4\times58+32\times52+52\times10\)

\(=52\times58+32\times52+52\times10\)

\(=52\times\left(58+32+10\right)\)

\(=52\times100\)

\(=5200\)

\(13-\sqrt{\left(\sqrt{2}-3\right)^2}\)
=13-/\(\sqrt{2}\)-3/
=13-(3-\(\sqrt{2}\))
=13-3+\(\sqrt{2}\)
=10\(\sqrt{2}\)

\(\sqrt{3-2\sqrt{2}}-\sqrt{6-4\sqrt{2}}\)
\(=\sqrt{2-2\sqrt{2}+1}-\sqrt{4-2.2\sqrt{2}+2}\)
\(=\sqrt{\left(\sqrt{2}-1\right)^2}-\sqrt{\left(2-\sqrt{2}\right)^2}\)
\(=\sqrt{2}-1-2+\sqrt{2}\)
\(=2\sqrt{2}-3\)

1) \(13-\sqrt{\left(\sqrt{2}-3\right)^2}=13-\left|\sqrt{2}-3\right|=13+\sqrt{2}-3=10+\sqrt{2}\)

2) \(\sqrt{3-2\sqrt{2}}-\sqrt{6-4\sqrt{2}}=\sqrt{\left(\sqrt{2}-1\right)^2}-\sqrt{\left(2-\sqrt{2}\right)^2}=\left|\sqrt{2}-1\right|-\left|2-\sqrt{2}\right|=\sqrt{2}-1-2+\sqrt{2}=2\sqrt{2}-3\)

1) 

2) 

1/13.58.4+32.26.2+52.10

=52.58+52.32+52.10

=52(58+32+10)=52.100=5200

2/15.37.4+120.21+21.5.12

=60.37+120.21+60.21

=60(37+2.21+21)=60.100=6000

= 52 (58 + 32 +10 ) =52 x 100 =5200

a) \(3.5^2+15.2^2-26\div2\)

= 3.25 + 15.4 - 13

= 75 + 60 - 13

= 135 - 13

= 122

b) \(5^3.2-100\div4+2^3.5\)

= 125.2 - 25 + 8.5

= 250 - 25 + 40

= 225 + 40

= 265

c)\(6^2\div9+50.2-3^3.33\)

= 36 : 9 + 100 - 9.33

= 4 + 100 - 297

= 104 - 297

= -193

d)\(3^2.5+2^3.10-81\div3\)

= 9.5 + 8.10 - 27

= 45 + 80 - 27

= 125 - 27

= 98

e) \(5^{13}\div5^{10}-25.2^2\)

= 5³ - 25.4

= 125 - 100

= 25

f) \(20\div2^2+5^9\div5^8\)

= 20 : 4 + 5

= 5 + 5

= 10

a,D=1+2+4+8+16+32+64+128+256+512+1024

   D=(1+2)+4+8+16+32+64+128+256+512+1024

   D=(4+4)+8+16+32+64+128+256+512+1024

   D=(8+8)+16+32+64+128+256+512+1024

   D=(16+16)+32+64+128+256+512+1024

   D=(32+32)+64+128+256+512+1024

   D=(64+64)+128+256+512+1024

   D=(128+128)+256+512+1024

   D=(256+256)+512+1024

   D=(512+512)+1024

   D=1024+1024

   D=2048

b, 18.123+9.4567.2+3.5310.6

  =18.123+(9.2).4567+(3.6).5310

  =18.123+18.4567+18.5310

  =18.(123+4567+5310)

  =18.10000

  =180000

c, E= 1+4+7+10+...+49+52+55+58-490

    Dãy số trên có số số hạng là:(không tính số 490)

        (58-1):(4-1).1+1=20(số)

     E=(58+1).20:2-490=100

     vậy E=100