Bài 1: Căn bậc hai
Các câu hỏi tương tự
sqrt{3+2sqrt{2}}-sqrt{3-2sqrt{2}}
dfrac{1}{sqrt{3}-1}-dfrac{1}{sqrt{3}+1}
2sqrt{5}-3sqrt{45}+sqrt{500}
dfrac{1}{sqrt{3}+sqrt{2}}-dfrac{sqrt{15}-sqrt{12}}{sqrt{5}-2}
dfrac{1}{2+sqrt{3}}-dfrac{1}{2-sqrt{3}}+5sqrt{3}
sqrt{3}-sqrt{4+2sqrt{3}}
dfrac{5-sqrt{5}}{sqrt{5}-1}-dfrac{4}{sqrt{5}+1}
sqrt{37-20sqrt{3}+sqrt{37+20sqrt{3}}}
Đọc tiếp
\(\sqrt{3+2\sqrt{2}}-\sqrt{3-2\sqrt{2}}\)
\(\dfrac{1}{\sqrt{3}-1}-\dfrac{1}{\sqrt{3}+1}\)
\(2\sqrt{5}-3\sqrt{45}+\sqrt{500}\)
\(\dfrac{1}{\sqrt{3}+\sqrt{2}}-\dfrac{\sqrt{15}-\sqrt{12}}{\sqrt{5}-2}\)
\(\dfrac{1}{2+\sqrt{3}}-\dfrac{1}{2-\sqrt{3}}+5\sqrt{3}\)
\(\sqrt{3}-\sqrt{4+2\sqrt{3}}\)
\(\dfrac{5-\sqrt{5}}{\sqrt{5}-1}-\dfrac{4}{\sqrt{5}+1}\)
\(\sqrt{37-20\sqrt{3}+\sqrt{37+20\sqrt{3}}}\)
MM
16 tháng 9 2019 lúc 21:47
Rút gọn biểu thức :
\(\sqrt{37-20\sqrt{3}}-\sqrt{37+20\sqrt{3}}\)
\(\sqrt{\left(\sqrt{3}+1\right)^2}+\sqrt{\left(1-\sqrt{3}\right)^2}\)
Nhờ các cao nhân giải siêu chi tiết hộ ạ
CÁC SỐ NÀO SAU ĐÂY CÓ CĂN BẬC HAI SỐ HỌC? GIẢI THÍCH
1) \(2-\sqrt{3}\)
2) \(4-\sqrt{15}\)
3) \(2\sqrt{3}-\sqrt{6}-1\)
4) \(3\sqrt{2}-2\sqrt{5}+1\)
5) \(11-\sqrt{26}-\sqrt{37}\)
6) \(\sqrt{26}+\sqrt{17}+1-\sqrt{99}\)
11) frac{3}{sqrt{6}-sqrt{3}}+frac{4}{sqrt{7}+sqrt{3}}
12) frac{6}{3sqrt{2}+2sqrt{3}}
13) left(sqrt{75}-3sqrt{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}}{2sqrt{3}+4sqrt{2}}
17) frac{1}{4-3sqrt{2}}-frac{1}{4+3sqrt{2}}
18)frac{6}{sqrt{2}-sqrt{3}+3}
19)frac{sqrt{3+2sqrt{2}}+sqrt{3-2sqrt{2}...
Đọc tiếp
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)\(\frac{5+\sqrt{5}}{5-\sqrt{5}}+\frac{5-\sqrt{5}}{5+\sqrt{5}}-\sqrt{10}\)
1)sqrt{12}-sqrt{27}+sqrt{48}2)(sqrt{24}+sqrt{20}-sqrt{80})div53)2sqrt{27}-sqrt{dfrac{16}{3}}-sqrt{48}-sqrt{8dfrac{1}{3}}4) dfrac{1}{sqrt{5}-sqrt{3}}-dfrac{1}{sqrt{5+sqrt{3}}}
Đọc tiếp
1)\(\sqrt{12}\)\(-\)\(\sqrt{27}\)\(+\)\(\sqrt{48}\)
2)(\(\sqrt{24}+\sqrt{20}-\sqrt{80}\))\(\div\)5
3)2\(\sqrt{27}-\sqrt{\dfrac{16}{3}}\)\(-\)\(\sqrt{48}-\)\(\sqrt{8\dfrac{1}{3}}\)
4) \(\dfrac{1}{\sqrt{5}-\sqrt{3}}\)\(-\)\(\dfrac{1}{\sqrt{5+\sqrt{3}}}\)
Thực hiện các phép tính sau:
a,sqrt{5+2sqrt{6}}-sqrt{5-2sqrt{6}}
b,sqrt{7-2sqrt{10}}-sqrt{7+2sqrt{10}}
c,sqrt{4-2sqrt{3}}+sqrt{4+2sqrt{3}}
d,sqrt{24+8sqrt{5}}+sqrt{9-4sqrt{5}}
e,sqrt{17-12sqrt{2}}+sqrt{9+4sqrt{2}}
f,sqrt{6-4sqrt{2}}+sqrt{22-12sqrt{2}}
Giải giúp mình với m.n mình đang cần gấp lắm!!!!!
Đọc tiếp
Thực hiện các phép tính sau:
a,\(\sqrt{5+2\sqrt{6}}-\sqrt{5-2\sqrt{6}}\)
b,\(\sqrt{7-2\sqrt{10}}-\sqrt{7+2\sqrt{10}}\)
c,\(\sqrt{4-2\sqrt{3}}+\sqrt{4+2\sqrt{3}}\)
d,\(\sqrt{24+8\sqrt{5}}+\sqrt{9-4\sqrt{5}}\)
e,\(\sqrt{17-12\sqrt{2}}+\sqrt{9+4\sqrt{2}}\)
f,\(\sqrt{6-4\sqrt{2}}+\sqrt{22-12\sqrt{2}}\)
Giải giúp mình với m.n
mình đang cần gấp lắm!!!!!
Tính \(\dfrac{\sqrt{2}+\sqrt{3}+\sqrt{10}+2+\sqrt{15}\sqrt{20}}{\sqrt{2}+\sqrt{3}+\sqrt{4}}\)
a. A=\(\dfrac{\sqrt{3}-3}{\sqrt{2-\sqrt{3}}+2\sqrt{2}}+\dfrac{\sqrt{3}+3}{\sqrt{2+\sqrt{3}}-2\sqrt{2}}\)
b. B=\(\dfrac{5+\sqrt{5}}{5-\sqrt{5}}+\dfrac{5-\sqrt{5}}{5+\sqrt{5}}\)
c. \(5.\sqrt{\dfrac{1}{5}}+\dfrac{1}{2}.\sqrt{20}+\sqrt{5}\)