100/25 - 36/81
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=(1-1/2)(1+1/2)*...*(1+1/10)(1-1/10)
=1/2*2/3*...*9/10*3/2*4/3*...*11/10
=1/10*11/2
=11/20
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\(\dfrac{36}{54}\) = \(\dfrac{36:18}{54:18}\) = \(\dfrac{2}{3}\)
\(\dfrac{28}{49}\) = \(\dfrac{28:7}{49:7}\) = \(\dfrac{4}{7}\)
\(\dfrac{48}{100}\) = \(\dfrac{48:4}{100:4}\) \(\dfrac{12}{25}\)
\(\dfrac{45}{81}\) = \(\dfrac{45:9}{81:9}\) = \(\dfrac{5}{9}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\left(\sqrt{\frac{36}{81}}+\sqrt{\frac{16}{25}}\right):\sqrt{\frac{100}{36}}=\left[\sqrt{\left(\frac{6}{9}\right)^2}+\sqrt{\left(\frac{4}{5}\right)^2}\right]:\sqrt{\left(\frac{10}{6}\right)^2}\)
=\(\left(\frac{6}{9}+\frac{4}{5}\right):\frac{10}{6}=\left(\frac{2}{3}+\frac{4}{5}\right).\frac{3}{5}=\left(\frac{10}{15}+\frac{12}{15}\right).\frac{3}{5}=\frac{22}{15}.\frac{3}{5}=\frac{22}{25}\)
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ta nhận thấy quy luât
số thứ nhất bằng (1+4)2
số thứ 2 bằng (2+4)2
số thứ 3 bằng (3+4)2
..............
=> số thứ 75 là:
(75+4)2=6241
![](https://rs.olm.vn/images/avt/0.png?1311)
\(1=1^2;4=2^2;9=3^2;16=4^2;25=5^2\)\(36=6^2;49=7^2;64=8^2;81=9^2;100=10^2\)
\(1=1^2\) \(36=36^2\)
\(4=4^2\) \(49=49^2\)
\(9=9^2\) \(64=64^2\)
\(16=16^2\) \(81=81^2\)
\(25=25^2\) \(100=100^2\)
TL
\(\frac{100}{25}-\frac{36}{25}=4-\frac{36}{25}\)=\(\frac{64}{25}\)
NHA BN
HT
\(\frac{100}{25}-\frac{36}{81}=4-\frac{4}{9}=3\frac{5}{9}\)
@muối