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EEEEEEEEEEEEEE ĐÉ
\(\sqrt{1}-\sqrt{4}+\sqrt{9}-\sqrt{16}+\sqrt{25}-\sqrt{36}+...-\sqrt{400}\)
\(=1-2+3-4+5-6+...-400\)
\(=\left(1-2\right)+\left(3-4\right)+\left(5-6\right)+...+\left(399-400\right)\)
\(=-1+\left(-1\right)+\left(-1\right)+...+\left(-1\right)\) (200 số hạng -1)
\(=\left(-1\right).200=-200\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\sqrt{\frac{1}{9}+\frac{1}{16}}\)
\(=\frac{1}{3}+\frac{1}{4}\)
\(=\frac{7}{12}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
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\(5\sqrt{16}-4\sqrt{9}+\sqrt{25}-\sqrt{400}\)
\(=5.4-4.3+5-20\)
\(=20-12+5-20\)
\(=-7\)
5√16−4√9+√25−√400
=5.4−4.3+5−20
=20−12+5−20
=8+5-20
=13-20
=-7
![](https://rs.olm.vn/images/avt/0.png?1311)
\(5\sqrt{16}-4\sqrt{9}-\sqrt{25}-0,3\sqrt{400}\)
\(=5.4-4.3+5-0,3.20\)
\(=20-12+5-6\)
\(=7\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(5.\sqrt{16}-4.\sqrt{9}+\sqrt{25}-0,3.\sqrt{400}\)
\(=5.4-4.3+5-\frac{3}{10}.20\)
\(=20-12+5-6\)
\(=8+5-6\)
\(=13-6\)
\(=7\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a) \(\sqrt{16}+\sqrt{225}.\sqrt{9}=4+15.3=4+45=49\)
b) \(\sqrt{\dfrac{10000}{400}}+\sqrt{\left(-3\right)^2}.\sqrt{6^4}=\dfrac{100}{20}+\sqrt{9}.\sqrt{36^2}=5+3.36=5+108=113\)
\(=1+2+3+...+20+21\)
=> Tổng trên có 21 số
Tổng là : (21+1).21/2=231
\(\sqrt{1}+\sqrt{4}+\sqrt{9}+....+\sqrt{400}+\sqrt{441}\)
= 1+2+3+...+21=231