\(\sqrt{6,5+\sqrt{ }12}-\sqrt{6.5-\sqrt{12}+2\sqrt{6}}\)
\(\sqrt{94-42\sqrt{5}-\sqrt{94+42\sqrt{5}}}\)
\(\sqrt{50}-2\sqrt{72}-3\sqrt{2}+\sqrt{32}\)
\(\left(2\sqrt{5}-\sqrt{125}+\sqrt{80}\right)\sqrt{5}\)
\(\left(5\sqrt{2}-3\sqrt{32}+\sqrt{200}\right)\sqrt{8}\)
(\(\sqrt{45}+\frac{1}{2}\sqrt{20}-4\sqrt{5}-\sqrt{\left(1-15^2\right)}\))\(^2 \)
\(\sqrt{9-4\sqrt{5}-3\sqrt{80}}\)
Giúp mình với ạ ! Mai mình nộp rồi
I.
1, \(\sqrt{8}-3\sqrt{32}+\sqrt{72}\)
2, \(6\sqrt{12}-2\sqrt{48}+5\sqrt{75}-7\sqrt{108}\)
3, \(\sqrt{20}+3\sqrt{45}-6\sqrt{80}-\dfrac{1}{3}\sqrt{125}\)
4, \(2\sqrt{5}-\sqrt{125}-\sqrt{80}\)
5, \(3\sqrt{2}-\sqrt{8}+\sqrt{50}-4\sqrt{32}\)
Tính
1) \(\sqrt{18}.\sqrt{2}\)
2) \(\sqrt{15^2-9^2}\)
3) \(\sqrt{46-6\sqrt{5}}-\sqrt{46+6\sqrt{5}}\)
4)\(\sqrt{21+6\sqrt{6}}-\sqrt{21-6\sqrt{6}}\)
5) \(\left(2+\sqrt{5}\right).\sqrt{9-4\sqrt{5}}\)
6)\(\left(3-\sqrt{2}\right).\sqrt{7+4\sqrt{3}}\)
7)\(\left(\sqrt{3}+\sqrt{5}\right).\sqrt{7-2\sqrt{10}}\)
8)\(\left(\sqrt{6}+\sqrt{10}\right).\sqrt{4-\sqrt{15}}\)
9) \(\sqrt{2}.\left(\sqrt{8}-\sqrt{32}+3\sqrt{18}\right)\)
10) \(\sqrt{2}\left(\sqrt{2}-\sqrt{3-\sqrt{5}}\right)\)
11) \(\sqrt{3}-\sqrt{2}-\sqrt{\left(\sqrt{3}+\sqrt{2}\right)^2}\)
12) \(\left(\sqrt{2}-\sqrt{3+\sqrt{5}}\right).\sqrt{2}+2\sqrt{5}\)
BT: Tính
a, \(\sqrt{13}.\sqrt{52}\)
b, \(\sqrt{12,5}.\sqrt{0,2}.\sqrt{0,1}\)
c, \(\sqrt{12}-\sqrt{27}+\sqrt{3}\)
d, \(\sqrt{252}-\sqrt{700}+\sqrt{1008}-\sqrt{448}\)
e, \(\left(\sqrt{12}-2\sqrt{75}\right).\sqrt{3}\)
f, \(\sqrt{3}.\left(\sqrt{12}+\sqrt{27}-\sqrt{3}\right)\)
g, \(\left(\sqrt{18}+\sqrt{32}-\sqrt{50}\right).\sqrt{2}\)
h, \(\sqrt{50}-\sqrt{18}+\sqrt{200}-\sqrt{162}\)
k, \(\frac{\sqrt{6}+\sqrt{10}}{\sqrt{21}+\sqrt{35}}\)
l, \(\frac{\sqrt{405}+3\sqrt{27}}{3\sqrt{3}+\sqrt{45}}\)
m, \(\frac{\sqrt{2}+\sqrt{3}+\sqrt{4}-\sqrt{6}-\sqrt{9}-\sqrt{12}}{\sqrt{2}+\sqrt{3}+\sqrt{4}}\)
n, \(\frac{\sqrt{6-2\sqrt{5}}}{\sqrt{5}-1}\)
p, \(\left(3+\sqrt{5}\right)\left(3-\sqrt{5}\right)-\left(2+\sqrt{3}\right)\left(2-\sqrt{3}\right)\)
q, \(2\sqrt{3}\left(\sqrt{2}-3\right)+\left(2-\sqrt{3}\right)^2+6\sqrt{3}\)
rút gọn biểu thức
a) \(3\sqrt{8}-4\sqrt{18}+5\sqrt{32}-\sqrt{50}\)
b) (\(15\sqrt{50}+5\sqrt{200}-3\sqrt{450}\)) : 10
c) \(2\sqrt{28}+2\sqrt{63}-3\sqrt{175}+\sqrt{112}\)
d) (\(\sqrt{14}-3\sqrt{2}\))\(^2\) +\(6\sqrt{28}\)
e) \(\sqrt{\left(1-\sqrt{2018}\right)^2}\). \(\sqrt{2019+2\sqrt{2018}}\)
f) \(\left(\sqrt{6}-\sqrt{5}\right)^2-\sqrt{120}\)
g)\(12\left(2\sqrt{3}-3\sqrt{2}\right)^2+2\sqrt{6}+3\sqrt{4}\)
A)\(\left(3-2\sqrt{2}\right).\left(3+2\sqrt{2}\right)\) B) \(\sqrt{\left(\sqrt{3}-2\right)}^2-\sqrt{\left(\sqrt{3}+2\right)}^2\) C)\(\sqrt{3-2\sqrt[]{2}}-\sqrt{3+2\sqrt{2}}\)
D)\(\left(1+\sqrt{3}-\sqrt{2}\right).\left(1+\sqrt{3}+2\right)\)
E) \(\left(\sqrt{3-\sqrt{5}}+\sqrt{3+\sqrt{5}}\right)^2\) F)\(\sqrt{15-\sqrt{216}}+\sqrt{33-12\sqrt{6}}\)
H)\(\sqrt{8\sqrt{3}}-2\sqrt{25\sqrt{12}}+4\sqrt{\sqrt{192}}\)
1. Tính
a. \(\left(4+\sqrt{15}\right)\left(\sqrt{10}-\sqrt{6}\right)\sqrt{4-\sqrt{15}}\)
b.\(\sqrt{3-\sqrt{5}}\left(\sqrt{10}-\sqrt{2}\right)\left(3+\sqrt{5}\right)\)
c.\(\dfrac{\sqrt{\sqrt{5}+2}+\sqrt{\sqrt{5}-2}}{\sqrt{\sqrt{5}+1}}-\sqrt{3-2\sqrt{2}}\)
Bài 1: Thực hiện phép tính :
a,\(\sqrt{252}-\sqrt{700}+\sqrt{1008}-\sqrt{448}\)
b,\(\left(\sqrt{125}+\sqrt{245}-\sqrt{5}\right):\sqrt{5}\)
c,\(\left(2\sqrt{18}-5\sqrt{32}+6\sqrt{2}\right):\sqrt{2}\)
\(\sqrt{2-\sqrt{3}}.\left(\sqrt{6}-\sqrt{12}\right).\left(2+\sqrt{3}\right)\)
\(\sqrt{2}.\sqrt{2-\sqrt{3}}.\left(\sqrt{3}+1\right)\)
\(\sqrt{6+2\sqrt{5}-\sqrt{29-12\sqrt{5}}}\)
\(\sqrt{\sqrt{5}-\sqrt{3-\sqrt{29-12\sqrt{5}}}}\)
Rút gọn:
A = \(\sqrt{2}\left(\sqrt{8}-\sqrt{32}-2\sqrt{18}\right)\)
B = \(\left(\sqrt{2}-\sqrt{3-\sqrt{5}}\right)\)
C = \(\sqrt{4-\sqrt{7}}-\sqrt{4+\sqrt{7}}\)
D = \(\sqrt{3}-\sqrt{2}-\sqrt{\sqrt{3}+\sqrt{2}}\)
E = \(\left(\sqrt{2}-\sqrt{3}+\sqrt{5}\right)\sqrt{2}+2\sqrt{5}\)
F = \(\left(\sqrt{14}-\sqrt{10}\right)\left(\sqrt{6+\sqrt{35}}\right)\)
G = \(\sqrt{11-4\sqrt{7}}-\sqrt{2}\times\sqrt{8+3\sqrt{7}}\)