Rút Gọn

1.\(3\sqrt{3}+4\sqrt{12}-5\sqrt{27}\)

2.\(\sqrt{32}-\sqrt{50}+\sqrt{18}\)

3.\(\sqrt{72}+\sqrt{4\frac{1}{2}}-\sqrt{32}-\sqrt{162}\)

4.\(\left(\sqrt{325}-\sqrt{117}+2\sqrt{208}\right):\sqrt{13}\)

5.\(\left(\sqrt{12}-\sqrt{48}-\sqrt{108}-\sqrt{192}\right):2\sqrt{3}\)

6.\(\left(2\sqrt{112}-5\sqrt{7}+2\sqrt{63}-2\sqrt{28}\right)\sqrt{7}\)

7.\(\left(2\sqrt{27}-3\sqrt{48}+3\sqrt{75}-\sqrt{192}\right)\left(1-\sqrt{3}\right)\)

8.\(7\sqrt{24}-\sqrt{150}-5\sqrt{54}\)

9.\(2\sqrt{20}-\sqrt{50}+3\sqrt{80}-\sqrt{320}\)

10.\(\sqrt{32}-\sqrt{50}+\sqrt{98}-\sqrt{72}\)

11.\(3\sqrt{2}-4\sqrt{18}+2\sqrt{32}-\sqrt{50}\)

12.\(5\sqrt{48}-4\sqrt{27}-2\sqrt{75}+\sqrt{108}\)

13.\(2\sqrt{24}-2\sqrt{54}+3\sqrt{6}-\sqrt{150}\)

14.\(\sqrt{125}-2\sqrt{20}-3\sqrt{80}+4\sqrt{45}\)

15.\(2\sqrt{28}+2\sqrt{63}-3\sqrt{175}+\sqrt{112}\)

16.\(10\sqrt{28}-2\sqrt{275}-3\sqrt{343}-\frac{3}{2}\sqrt{396}\)

Bài 5> Rút gọn căn cho một số bằng phép khai phương

1> \(\sqrt{50}\) - \(\sqrt{18}\) + \(\sqrt{200}\) - \(\sqrt{162}\)

2> \(5\sqrt{5}\) + \(\sqrt{20}\) - 3\(\sqrt{45}\)

3> \(5\sqrt{48}\) - \(4\sqrt{27}\) - 2\(\sqrt{75}\) + \(\sqrt{108}\)

4> \(\dfrac{1}{2}\sqrt{48}\) - 2\(\sqrt{75}\) - \(\dfrac{\sqrt{33}}{\sqrt{11}}\) + 5\(\sqrt{1\dfrac{1}{3}}\)

5> \(3\sqrt{12}\) - 4\(\sqrt{27}\) + 5\(\sqrt{48}\)

6> \(\sqrt{12}\) + \(5\sqrt{3}\) - \(\sqrt{48}\)

7> \(3\sqrt{50}\) - 2\(\sqrt{12}\) \(\sqrt{18}\) +\(\sqrt{75}\) - \(\sqrt{8}\)

8> \(2\sqrt{75}\) - \(3\sqrt{12}\) + \(\sqrt{27}\)

1.\(\frac{10+2\sqrt{10}}{\sqrt{5}+\sqrt{2}}\) + \(\frac{8}{1-\sqrt{5}}\)

2.\(\frac{2\sqrt{8}-\sqrt{12}}{\sqrt{18}-\sqrt{48}}\)- \(\frac{\sqrt{5}+\sqrt{27}}{\sqrt{30}+\sqrt{162}}\)

3.\(\sqrt{\frac{2-\sqrt{3}}{2+\sqrt{3}}}\)+\(\sqrt{\frac{2+\sqrt{3}}{2-\sqrt{3}}}\)

4.\(2\sqrt{\frac{16}{3}}\)-  \(3\sqrt{\frac{1}{27}}\)-\(6\sqrt{\frac{4}{75}}\)

5.\(2\sqrt{27}\)- \(6\sqrt{\frac{4}{3}}\)+\(\frac{3}{5}\sqrt{75}\)

6.\(\frac{\sqrt{3-\sqrt{5}}\times\left(3+\sqrt{5}\right)}{\sqrt{10}+\sqrt{2}}\)

Mn giúp mình với ạ mình cần gấp

Bài 5: Rút gọn căn cho một số bằng phép khai phương

9> \(\sqrt{12}\) + \(\sqrt{75}\) - \(\sqrt{27}\)

10> \(\sqrt{27}\) - \(\sqrt{12}\) + \(\sqrt{75}\) + \(\sqrt{147}\)

11> \(2\sqrt{3}\) + \(\sqrt{48}\) - \(\sqrt{75}\) - \(\sqrt{243}\)

12> \(\sqrt{5+2\sqrt{6}}\) - \(\sqrt{5-2\sqrt{6}}\)

13> \(\sqrt{9-4\sqrt{5}}\) - \(\sqrt{9+\sqrt{80}}\)

14> \(\sqrt{3+2\sqrt{2}}\) _ \(\sqrt{6-4\sqrt{2}}\)

15> \(\sqrt{17-4\sqrt{9+4\sqrt{5}}}\)

16> \(\sqrt{4+\sqrt{5}\sqrt{3}+5\sqrt{48-10\sqrt{7+4\sqrt{3}}}}\)

17> (\(\sqrt{28}\) - \(2\sqrt{14}\) + \(\sqrt{7}\))\(\sqrt{7}\) + 7\(\sqrt{8}\)

18> \(\sqrt{\left(\sqrt{14}-3\sqrt{2}\right)^2}+6\sqrt{28}\)

19> \(\dfrac{1}{\sqrt{5}-2}\) + \(\dfrac{1}{\sqrt{5}+2}\)

20> \(\dfrac{\sqrt{5}+\sqrt{3}}{\sqrt{5-\sqrt{3}}}\) + \(\dfrac{\sqrt{5}-\sqrt{3}}{\sqrt{5}+\sqrt{3}}\)

21> \(\dfrac{1}{4-3\sqrt{2}}\) _ \(\dfrac{1}{4+3\sqrt{2}}\)

22> \(\sqrt{4-\sqrt{7}}-\sqrt{4+\sqrt{7}}+\sqrt{7}\)

Rút gọn biểu thức 
1)\(\frac{15}{3\sqrt{20}}\)
2) \(\frac{\sqrt{15}-\sqrt{6}}{\sqrt{2}-\sqrt{5}}\)
3) \(\frac{3}{\sqrt{5}-\sqrt{2}}+\frac{4}{\sqrt{6}+\sqrt{2}}\)
4) \(\sqrt{\frac{3}{20}}+\sqrt{\frac{1}{60}}-2\sqrt{\frac{1}{15}}\)
5) \(\left(\sqrt{20}-\sqrt{45}+\sqrt{5}\right)\sqrt{5}\)
6)\(\left(2+\sqrt{5}\right)^2-\left(2+\sqrt{5}\right)^2\)
7) \(\left(5\sqrt{\frac{1}{5}}+\frac{1}{2}\sqrt{20}-\frac{5}{4}\sqrt{\frac{4}{5}+\sqrt{5}}\right):2\sqrt{5}\)
8)\(\frac{1}{3}\sqrt{48}+3\sqrt{75}-\sqrt{27}-10\sqrt{1\frac{1}{3}}\)
9) \(2\sqrt{3}\left(2\sqrt{6}-\sqrt{3}+1\right)\)
10) \(\left(5\sqrt{3}+3\sqrt{5}\right):\sqrt{15}\)
11) \(\sqrt{\sqrt{10}+1}.\sqrt{\sqrt{10}-1}\)
12) \(\frac{5\sqrt{7}-7\sqrt{5}+2\sqrt{70}}{\sqrt{35}}\)
13) \(\sqrt{\frac{3}{4}}+\sqrt{\frac{1}{3}}+\sqrt{\frac{1}{12}}\)
14) \(\left(\sqrt{\frac{2}{3}}+\sqrt{\frac{3}{2}}\right)\sqrt{6}\)
15 ) \(\sqrt{\frac{4}{3}}+\sqrt{12}-\frac{4}{3}\sqrt{\frac{3}{4}}\)
16) \(\frac{1}{\sqrt{5}+\sqrt{3}}-\frac{1}{\sqrt{5}-\sqrt{3}}\)
17) \(\frac{1}{2+\sqrt{3}}+\frac{\sqrt{2}}{\sqrt{6}}-\frac{2}{3+\sqrt{3}}\)

Bài 1:Thực hiện phép tính

1.(\(\sqrt{28}_{ }-\sqrt{12}-\sqrt{7}\))\(\sqrt{7}\)+2\(\sqrt{21}\)

2. 2\(\sqrt{3}\) +\(\sqrt{27}\)-3\(\sqrt{45}\) +\(\sqrt{5}\)

3.(2\(\sqrt{2}\) -\(\sqrt{5}\)+\(\sqrt{18}\)).\(\sqrt{5}+20\sqrt{\frac{1}{10}}\)

4.\(\sqrt{27}-3\sqrt{48}+2\sqrt{75}-\sqrt{\left(2-\sqrt{3}\right)^2}\)

5.(\(\sqrt{8}-5\sqrt{2}+\sqrt{20}\)).\(\sqrt{5}\)+(40\(\sqrt{\frac{1}{10}}-10\)

6. \(\sqrt{2x}-3\sqrt{8x}+4\sqrt{18x}=14\)

 Rút gọn các biểu thức sau :

1 )  \(\sqrt{80}\)+\(\sqrt{20}\)-\(\sqrt{5}\)-5\(\sqrt{45}\)

2 ) 4\(\sqrt{20}\)-3\(\sqrt{125}\)+5\(\sqrt{45}\)-15\(\sqrt{\frac{1}{5}}\)

3 ) (7\(\sqrt{48}\)+3\(\sqrt{27}\)-2\(\sqrt{12}\)) :\(\sqrt{3}\)

4 ) \(\sqrt{343a}\)+\(\sqrt{63a}\)-\(\sqrt{28a}\)\(\left(a\ge0\right)\)

5 ) -\(\sqrt{36a}\)-\(\frac{1}{3}\).\(\sqrt{54a}\)+\(\frac{1}{5}\).\(\sqrt{150a}\)\(\left(a\ge0\right)\)

6 ) \(2\)\(\sqrt{48}\) -\(4\)\(\sqrt{27}\)+\(\sqrt{75}\)+\(\sqrt{12}\)

1] rút gọn

a) (\(\sqrt{12}\) + \(3\sqrt{5}\) - \(4\sqrt{135}\)) 13

b) \(\sqrt{252}\) - \(\sqrt{700}\) + \(\sqrt{1008}\) - \(\sqrt{448}\)

c) \(2\sqrt{40\sqrt{12}}\) - \(2\sqrt{\sqrt{75}}\) -\(3\sqrt{5\sqrt{48}}\)

2]

a) A= \(\frac{\sqrt{6}+\sqrt{14}}{2\sqrt{3}+\sqrt{28}}\)

b) B= \(\frac{9\sqrt{5}+3\sqrt{27}}{\sqrt{5}+\sqrt{3}}\)

c) C= \(\frac{3\sqrt{8}-2\sqrt{12}+\sqrt{20}}{3\sqrt{18}-2\sqrt{27}+\sqrt{45}}\)

Đề bài: Khử mẫu của biểu thức dưới dấu căn:

1. \(\sqrt{\frac{3}{20}}\) + \(\sqrt{\frac{1}{60}}\) - 2\(\sqrt{\frac{1}{15}}\)

2. \(\sqrt{\frac{7}{3}}\) - \(\sqrt{\frac{1}{21}}\) + \(\sqrt{\frac{3}{7}}\)

3. 2\(\sqrt{40\sqrt{12}}\) - 2\(\sqrt{\sqrt{75}}\) - 3\(\sqrt{5\sqrt{48}}\)

4. 2 \(\sqrt{45\sqrt{3}}\) - 2\(\sqrt{20\sqrt{3}}\) - \(\sqrt{5\sqrt{48}}\)