Bấm máy tính là ra thui mà bn
a/ \(=2\sqrt{3}-3\sqrt{3}+\sqrt{3}=0\)
b/ \(=\left(2\sqrt{3}-10\sqrt{3}\right)\sqrt{3}=-24\)
c/ \(=15-10\sqrt{7}+12\sqrt{7}-8\sqrt{7}=15-6\sqrt{7}\)
d/ \(=\sqrt{3}\left(2\sqrt{3}+3\sqrt{3}-\sqrt{3}\right)=12\)
tính
\(a.\sqrt{0,45.0,36}\)
b.\(\dfrac{\sqrt{405}+3\sqrt{27}}{3\sqrt[]{3}+45}\)
c.\(\sqrt{252}-\sqrt{700}+\sqrt{1008}-\sqrt{448}\)
d.\(\left(\sqrt{12}-2\sqrt{75}\right)\sqrt{3}\)
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,\(\left(2\sqrt{18}-5\sqrt{32}+6\sqrt{2}\right):\sqrt{2}\)
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, \(2\sqrt{3}\left(\sqrt{2}-3\right)+\left(2-\sqrt{3}\right)^2+6\sqrt{3}\)
bài 1 ; thực hiện phép tính
a, \(\left(\sqrt{12}+\sqrt{75}+\sqrt{27}\right):\sqrt{15}\)
b, \(\sqrt{252}-\sqrt{700}+\sqrt{1008}-\sqrt{448}\)
c, \(\sqrt{27^2-23^2}+\sqrt{37^2-35^2}\)
d,\(\left(\sqrt{\dfrac{1}{7}}+\sqrt{\dfrac{16}{7}}+\sqrt{\dfrac{9}{7}}\right):\sqrt{7}\)
bài 2 : rút gọn
a, \(A=\dfrac{2}{x^2-y^2}\times\sqrt{\dfrac{3x^2+6xy+3y^2}{4}}\)
b, \(B=\dfrac{1}{2a-1}\times\sqrt{5a^4\left(1-4a+4a^2\right)}\)
A)\(\sqrt{2-\sqrt{3}}.\left(\sqrt{6}+\sqrt{2}\right)\)
B)\(\left(\sqrt{2}+1^{ }\right)^3-\left(\sqrt{2}-1\right)^3\) C)\(\dfrac{2\sqrt{8}-\sqrt{12}}{\sqrt{18}-\sqrt{48}}-\dfrac{\sqrt{5}+\sqrt{27}}{\sqrt{30}+\sqrt{162}}\) D)\(\sqrt{\dfrac{2-\sqrt{3}}{2+\sqrt{3}}}+\sqrt{\dfrac{2+\sqrt{3}}{2-\sqrt{3}}}\) E)\(\dfrac{\sqrt{3-\sqrt{5}}.\left(3+\sqrt{5}\right)}{\sqrt{10}+\sqrt{2}}\) F)\(\dfrac{1}{\sqrt{2}+\sqrt{2+\sqrt{3}}}+\dfrac{1}{\sqrt{2}-\sqrt{2-\sqrt{3}}}\)
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= \(\frac{3\sqrt{8}-2\sqrt{12}+\sqrt{20}}{3\sqrt{18}-2\sqrt{27}+\sqrt{45}}\)
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)\(\sqrt{8\sqrt{3}}-2\sqrt{25\sqrt{12}}+4\sqrt{\sqrt{192}}\)
Thực hiện phép tính:
a) \(\left(2\sqrt{2}-\sqrt{3}\right)^2\)
b) \(\left(1+\sqrt{3}-\sqrt{2}\right)\left(1+\sqrt{3}+\sqrt{2}\right)\)
c) \(\left(\sqrt{3-\sqrt{5}}+\sqrt{3+\sqrt{5}}\right)^2\)
d) \(\left(\sqrt{\sqrt{11}+\sqrt{7}}-\sqrt{\sqrt{11}-\sqrt{7}}\right)^2\)
e) \(\sqrt{2+\sqrt{3}}-\sqrt{2-\sqrt{3}}\)
f) \(\sqrt{21-12\sqrt{3}}-\sqrt{3}\)
g) (\(\sqrt{6}+\sqrt{2}\))(\(\sqrt{3}-2\))\(\sqrt{\sqrt{3}+2}\)
h) \(\sqrt{6-2\sqrt{\sqrt{2}+\sqrt{12}+\sqrt{18-\sqrt{128}}}}\)
Mọi người làm giúp em gấp với !!!!!!!!!!!!!!!!!
thực hiện phép tính ngắn gọn nhất
a) (\(\sqrt{12}\) +\(\sqrt{27}\) -\(\sqrt{3}\)) . \(\sqrt{3}\)
