Không dùng mtct, so sánh

A) \(\sqrt{65}\)+1 và \(\sqrt{63}\)+1

B)\(\dfrac{1}{\sqrt{8}}\)và \(\dfrac{1}{\sqrt{7}}\)

C)\(\sqrt{34,9}\) và 6

D) \(3\sqrt{25,5}\) và 14

E)\(2\sqrt{26}\)+4 và 13

F) \(\sqrt{24}\)+\(\sqrt{63+3}\)và 16

G) \(\dfrac{46-3\sqrt{49}}{4}\)và \(\sqrt{50}\)

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

Rút gọn các biểu thức:
1. A=\(\left(\sqrt{5}-2\right)\left(\sqrt{5}+2\right)\)

2. B= \(\left(\sqrt{45}+\sqrt{63}\right)\left(\sqrt{7}-\sqrt{5}\right)\)

3. C= \(\left(\sqrt{5}+\sqrt{3}\right)\left(5-\sqrt{15}\right)\)

4. D= \(\left(\sqrt{32}-\sqrt{50}+\sqrt{27}\right)\left(\sqrt{27}+\sqrt{50}-\sqrt{32}\right)\)

5. E= \(\left(\sqrt{3}+1\right)^2-2\sqrt{3}+4\)

6. F= \(\left(\sqrt{15}-2\sqrt{3}\right)^2+12\sqrt{5}\)

So sánh: (KHÔNG DÙNG MÁY TÍNH)

a) \(\sqrt{26}+\sqrt{17}\) và 9

b) \(\sqrt{8}-\sqrt{5}\) và 1

c) \(\sqrt{63-27}\) và \(\sqrt{63}-\sqrt{27}\)

d) \(\sqrt{225}-\frac{1}{\sqrt{5}}-1\) và \(\sqrt{196}-\frac{1}{\sqrt{6}}\)

e) \(\sqrt{17}+\sqrt{5}+1\) và \(\sqrt{45}\)