\(\sqrt{10000}+9820-\frac{930}{293}\)

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26 tháng 3 2020

\(\sqrt{10000}+9820-\frac{930}{293}\)

\(=100+9820-\frac{930}{293}\)

\(=9920-\frac{930}{293}\)

\(=\frac{2905630}{293}\)

Ko chắc nha '-'

26 tháng 3 2020

Bn chưa rút gọn phân số

15 tháng 7 2019

\(a,\sqrt{81}=9\)

\(b.\sqrt{8100}=90\)

\(c,\sqrt{64}=8\)

\(d,\sqrt{25}=5\)

\(e,\sqrt{0,64}=0,8\)

\(f,\sqrt{10000}=100\)

\(g,\sqrt{0,01}=0,1\)

\(h,\sqrt{\frac{49}{100}}=\frac{7}{10}\)

\(i,\sqrt{\frac{0,09}{121}}=\frac{0,3}{11}\)

\(j,\sqrt{\frac{4}{25}}=\frac{2}{5}\)

~Study well~

#JDW

15 tháng 7 2019

a) 9

b) 90 

c) 8

d) 5

e) 0,8

f) 100

g) 0,1

h) \(\frac{7}{10}\)

i) \(\frac{0,3}{11}\)

j) 0,4.

4 tháng 10 2018

99+10\(\sqrt{10}\)

chúc bạn học tốt

4 tháng 10 2018

   \(\sqrt{10000}+\sqrt{9801}\)

= 100 + 99

= 199

Hk tốt

15 tháng 9 2018

\(\frac{2}{3}\sqrt{81}-\left(\frac{-3}{4}\right):\sqrt{\frac{9}{64}}-\left(\frac{\sqrt{5}}{2011}\right)^0\)

\(=\frac{2}{3}\cdot9+\frac{3}{4}\cdot\frac{8}{3}-1\)

\(=6+2-1\)

\(=7\)

15 tháng 9 2018

\(\frac{2}{3}\sqrt{81}-\left(-\frac{3}{4}\right):\sqrt{\frac{9}{64}}-\left(\frac{\sqrt{5}}{2011}\right)^0=\frac{2}{3}.9-\left(-2\right)-1=6+2-1=7\)

21 tháng 8 2020

a) \(A=\left(-1\right)^{2n}.\left(-1\right)^n.\left(-1\right)^{n+1}=\left(-1\right)^{3n+1}\)

b) \(B=\left(10000-1^2\right)\left(10000-2^2\right).........\left(10000-1000^2\right)\)

\(=\left(10000-1^2\right)\left(10000-2^2\right)......\left(10000-100^2\right)....\left(10000-1000^2\right)\)

\(=\left(10000-1^2\right)\left(10000-2^2\right).....\left(10000-10000\right).....\left(10000-1000^2\right)=0\)

c) \(C=\left(\frac{1}{125}-\frac{1}{1^3}\right)\left(\frac{1}{125}-\frac{1}{2^3}\right)..........\left(\frac{1}{125}-\frac{1}{25^3}\right)\)

\(=\left(\frac{1}{125}-\frac{1}{1^3}\right)\left(\frac{1}{125}-\frac{1}{2^3}\right).....\left(\frac{1}{125}-\frac{1}{5^3}\right)......\left(\frac{1}{125}-\frac{1}{25^3}\right)\)

\(=\left(\frac{1}{125}-\frac{1}{1^3}\right)\left(\frac{1}{125}-\frac{1}{2^3}\right)........\left(\frac{1}{125}-\frac{1}{125}\right).....\left(\frac{1}{125}-\frac{1}{25^3}\right)=0\)

d) \(D=1999^{\left(1000-1^3\right)\left(1000-2^3\right)........\left(1000-10^3\right)}\)

\(=1999^{\left(1000-1^3\right)\left(1000-2^3\right)........\left(1000-1000\right)}=1999^0=1\)

DD
27 tháng 5 2021

\(S=2014+\frac{2014}{1+2}+\frac{2014}{1+2+3}+...+\frac{2014}{1+2+3+...+10000}\)

\(S=\frac{2014}{\frac{1.2}{2}}+\frac{2014}{\frac{2.3}{2}}+\frac{2014}{\frac{3.4}{2}}+...+\frac{2014}{\frac{10000.10001}{2}}\)

\(S=\frac{4028}{1.2}+\frac{4028}{2.3}+\frac{4028}{3.4}+...+\frac{4028}{10000.10001}\)

\(S=4028\left(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{10000.10001}\right)\)

\(S=4028\left(\frac{2-1}{1.2}+\frac{3-2}{2.3}+\frac{4-3}{3.4}+...+\frac{10001-10000}{10000.10001}\right)\)

\(S=4028\left(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+...+\frac{1}{10000}-\frac{1}{10001}\right)\)

\(S=4028\left(1-\frac{1}{10001}\right)=\frac{40280000}{10001}\)

10 tháng 8 2019

\(x=\frac{3}{4}+\frac{8}{9}+\frac{15}{16}+...+\frac{9999}{10000}\)

\(x=\frac{1.3}{2.2}+\frac{2.4}{3.3}+\frac{3.5}{4.4}+...+\frac{99.101}{100.100}\)

\(x=\frac{1.2...99}{2.3...100}.\frac{3.4...101}{2.3...100}\)

\(x=\frac{1}{100}.\frac{101}{2}\)

\(x=\frac{101}{200}\)

\(X=\frac{1.3}{2.2}+\frac{2.4}{3.3}+\frac{3.5}{4.4}+...+\frac{99.101}{100.100}\)

\(X=\frac{1.2.3....99}{2.3.4....100}.\frac{3.4.5....101}{2.3.4....100}\)

\(X=\frac{1}{100}.\frac{101}{2}\)

\(X=\frac{101}{200}\)

Study well 

24 tháng 8 2021

\(\sqrt{81}=9\)

\(\sqrt{0,64}=0,8\)

\(\sqrt{\frac{49}{100}}=\frac{7}{10}\)

\(\sqrt{8100}=90\)

\(\sqrt{100=}10\)

\(\sqrt{0,01}=0,1\)

\(\sqrt{\frac{4}{25}}=\frac{2}{5}\)

\(\sqrt{\frac{0,09}{121}}=\frac{0,3}{11}\)

24 tháng 8 2021

\(\sqrt{81}=9\);\(\sqrt{0,64}=0,8\);\(\sqrt{\frac{49}{100}}=\frac{7}{10}\);\(\sqrt{8100}=90\)\(\sqrt{100}=10\)\(\sqrt{0,01}=0,1\)\(\sqrt{\frac{4}{25}}=\frac{2}{5}\)\(\sqrt{\frac{0,09}{121}}=\frac{0,3}{11}=\frac{3}{110}\)