Bài 1: Tính

A=\(\sqrt{46-6\sqrt{5}}-\sqrt{29-12\sqrt{5}}\)

B=\(\sqrt{13-\sqrt{160}-\sqrt{53+4\sqrt{90}}}\)

C=\(\sqrt{15-6\sqrt{6}}+\sqrt{35-12\sqrt{6}}\)

D=\(\sqrt{5\sqrt{3}+5\sqrt{48-10\sqrt{7+4\sqrt{3}}}}\)

E= \(\sqrt{4-\sqrt{7}}+\sqrt{4+\sqrt{7}}\)

F= \(\sqrt{3+\sqrt{11+6\sqrt{2}}}-\sqrt{5+2\sqrt{6}}\)

G=\(\sqrt{5\sqrt{3}+5\sqrt{48-10\sqrt{7+4\sqrt{3}}}}\)

Bài 2: so sánh

a) \(\sqrt{24}+\sqrt{45}\)  và 12

b) \(\sqrt{37}-\sqrt{15}\)  và 2

c) \(\sqrt{16}\) và \(\sqrt{15}\times\sqrt{17}\)

d) 8 và \(\sqrt{15}+\sqrt{17}\)

Bài 1: So sánh

1/  6 + \(2\sqrt{2}\)và 9

2/ 9 + \(4\sqrt{5}\)và 16

3/ 1 và \(\sqrt{3}-1\)

4/ 9 - \(4\sqrt{5}\)và 16

5/ \(\sqrt{2}+1\)và 2

6/ \(2\sqrt{3}-5\)và \(\sqrt{3}-4\)

7/ \(\sqrt{3}-3\sqrt{2}\)và \(-4\sqrt{3}+5\sqrt{2}\)

8/ \(5\sqrt{5}-2\sqrt{3}\)và \(6+4\sqrt{5}\)

9/ \(\sqrt{11}-\sqrt{3}\)và 2

10/ \(3+\sqrt{2}\)và \(2+\sqrt{3}\)

11/ \(\sqrt{2}+\sqrt{3}\)và 3

12/ \(\sqrt{2}+\sqrt{3}\)và \(\sqrt{10}\)

13/ \(\sqrt{2}+\sqrt{6}\)và \(2+\sqrt{3}\)

14/ \(\frac{13-2\sqrt{3}}{6}\)và \(\sqrt{2}\)

15/ \(\sqrt{8}+\sqrt{15}\)và \(\sqrt{65}-1\)

11) \(\frac{3}{\sqrt{6}-\sqrt{3}}+\frac{4}{\sqrt{7}+\sqrt{3}}\)

12) \(\frac{6}{3\sqrt{2}+2\sqrt{3}}\)

13) \(\left(\sqrt{75}-3\sqrt{2}-\sqrt{12}\right)\left(\sqrt{3}+\sqrt{2}\right)\)

14)\(\frac{\sqrt{5}+\sqrt{3}}{\sqrt{5}-\sqrt{3}}+\frac{\sqrt{5}-\sqrt{3}}{\sqrt{5}+\sqrt{3}}\)

15)\(\frac{\sqrt{5}-\sqrt{3}}{\sqrt{5}+\sqrt{3}}+\frac{\sqrt{5}+\sqrt{3}}{\sqrt{5}-\sqrt{3}}-\frac{\sqrt{5}+1}{\sqrt{5}-1}\)

16)\(\frac{\sqrt{2}}{2\sqrt{3}+4\sqrt{2}}\)

17) \(\frac{1}{4-3\sqrt{2}}-\frac{1}{4+3\sqrt{2}}\)

18)\(\frac{6}{\sqrt{2}-\sqrt{3}+3}\)

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

20)\(\sqrt{24}+6\sqrt{\frac{2}{3}}+\frac{10}{\sqrt{6}-1}\)

21)\(2\sqrt{40\sqrt{12}}-2\sqrt{\sqrt{75}}-3\sqrt{5\sqrt{58}}\)

22)\(4\sqrt{20}-3\sqrt{125}+5\sqrt{45}-15\sqrt{\frac{1}{5}}\)

23)\(\left(3\sqrt{8}-2\sqrt{12}+\sqrt{20}\right):\left(3\sqrt{18}-2\sqrt{27}+\sqrt{45}\right)\)

24)\(\left(\frac{15}{\sqrt{6}+1}+\frac{4}{\sqrt{6}-2}-\frac{12}{3-\sqrt{6}}\right)\left(\sqrt{6}+11\right)\)

25)\(\left(\sqrt{7}-\sqrt{5}\right)^2+2\sqrt{35}\)

26)\(\frac{\sqrt{6}+\sqrt{14}}{2\sqrt{3}+\sqrt{28}}+\frac{3\sqrt{45}+\sqrt{243}}{\sqrt{5}+\sqrt{3}}\)

27)\(\frac{1}{\sqrt{7-\sqrt{24}}+1}-\frac{1}{\sqrt{7+\sqrt{24}}-1}\)

28)\(\frac{1}{2+\sqrt{3}}+\frac{1}{\sqrt{3}}-\frac{2}{3+\sqrt{3}}\)

29)\(\frac{3+\sqrt{5}}{2\sqrt{2}+\sqrt{3+\sqrt{5}}}+\frac{3-\sqrt{5}}{2\sqrt{2}-\sqrt{3-\sqrt{5}}}\)

30)\(\left(15\sqrt{50}+5\sqrt{200}-3\sqrt{450}\right):\sqrt{10}\)

31)\(\left(\frac{2}{\sqrt{3}-1}+\frac{3}{\sqrt{3}-2}+\frac{15}{3-\sqrt{3}}\right).\frac{1}{\sqrt{3}+5}\)

32)\(\frac{5+\sqrt{5}}{5-\sqrt{5}}+\frac{5-\sqrt{5}}{5+\sqrt{5}}-\sqrt{10}\)

So sánh:

a) \(4\sqrt{7}\) và \(3\sqrt{13}\)

b) \(3\sqrt{12}\) và \(2\sqrt{16}\)

c) \(\dfrac{1}{4}\sqrt{84}\) và \(6\sqrt{\dfrac{1}{7}}\)

d) \(3\sqrt{12}\) và \(2\sqrt{16}\)

e) \(\dfrac{1}{2}\sqrt{\dfrac{17}{2}}\) và \(\dfrac{1}{3}\sqrt{19}\)

1) có bao nhiêu giá trị nguyên của x để biểu thức 

\(M=\sqrt{x+4}+\sqrt{2-x}\) có nghĩa

2) so sánh 

a) \(\sqrt{33}-\sqrt{17}\) và \(6-\sqrt{15}\)

b) \(4\sqrt{5}\) và \(5\sqrt{3}\)

c) \(\sqrt{3\sqrt{2}}\) và \(\sqrt{2\sqrt{3}}\)

d) \(\sqrt{10}+\sqrt{17}+1\) và \(\sqrt{61}\)

giúp mk nhé mk cần gấp