\(\sqrt{46-6\sqrt{5}}-\sqrt{29-12\sqrt{5}}\) \(\sqrt{13-\sqrt{160}-\sqrt{53+4\sqrt{90}}}\) \(\left(\sqrt{3+}\sqrt{5}\right)\times\sqrt{7-2\sqrt{10}}\) \(\left(\sqrt{7}-\sqrt{3}\right)\times\sqrt{10+2\sqrt{21}}\)
câu a \(\sqrt{46-6\sqrt{5}}-\sqrt{29-12\sqrt{5}}\) câu b \(\sqrt{13-\sqrt{160}}-\sqrt{53+4\sqrt{90}}\) câu c \(\left(\sqrt{3}+\sqrt{5}\right)\times\sqrt{7-2\sqrt{10}}\) câu d \(\left(\sqrt{7}-\sqrt{3}\right)\times\sqrt{10+2\sqrt{21}}\)
\(C=\dfrac{\sqrt{15-10\sqrt{2}}+\sqrt{13+4\sqrt{10}}-\sqrt{11+2\sqrt{10}}}{2\sqrt{3+2\sqrt{2}}+\sqrt{9-4\sqrt{2}}+\sqrt{12+8\sqrt{2}}}\)
\(B=\dfrac{20}{3+\sqrt{5}+\sqrt{2+2\sqrt{5}}}\)
Rút gọn các biểu thức sau:
H = \(2\sqrt{27}+\sqrt{243}-6\sqrt{12}\)
I = \(\sqrt{14-2\sqrt{ }13}+\sqrt{14+2\sqrt{ }13}\)
K = \(\sqrt{10-\sqrt{ }4\sqrt{ }6}+\sqrt{10\sqrt{ }+4\sqrt{ }6}\)
(*)L = \(\sqrt{6+2\sqrt{ }5-\sqrt{ }29-12\sqrt{ }5}\)
Help me, please!
Rút gọn
A= \(\sqrt{13+4\sqrt{10}-\sqrt{13-4\sqrt{10}}}\)
B= \(\sqrt{\dfrac{3-2\sqrt{2}}{17-12\sqrt{2}}+\sqrt{\dfrac{2-\sqrt{3}}{2+\sqrt{3}}}}\)
C= \(\dfrac{\sqrt{x^2+9x+6}}{x+3}\)
D= \(\sqrt{2m+4+6\sqrt{2m-5}}-\sqrt{2m-5}\)
giai giups nhanh nha,RUT GON
A=\(\sqrt{4-\sqrt{7}}-\sqrt{4+\sqrt{7}}+\sqrt{7}\)
B=\(\sqrt{6.5+\sqrt{12}}+\sqrt{6.5-\sqrt{12}}+2\sqrt{6}\)
C=\(\sqrt{46+\sqrt{6\sqrt{5}}}-\sqrt{29-12\sqrt{5}}\)
D=\(\sqrt{13-\sqrt{160}}-\sqrt{53+4\sqrt{90}}\)
1) \(\sqrt{7-2\sqrt{10}}\) - \(\sqrt{7+2\sqrt{10}}\)
2) \(\sqrt{4-2\sqrt{3}}\) + \(\sqrt{4+2\sqrt{3}}\)
3) \(\sqrt{6-4\sqrt{2}}\) + \(\sqrt{22-12\sqrt{2}}\)
Tính giá trị các biểu thức:
a.\(\left(7\sqrt{48}+3\sqrt{27}-2\sqrt{12}\right)\sqrt{3}\)
b.\(\left(12\sqrt{50}-8\sqrt{200}+7\sqrt{450}\right):\sqrt{10}\)
c.\(\left(2\sqrt{6}-4\sqrt{3}+5\sqrt{2}-\dfrac{1}{4}\sqrt{8}\right)3\sqrt{6}\)
d.\(3\sqrt{15\sqrt{50}}+5\sqrt{24\sqrt{8}}-4\sqrt{12\sqrt{32}}\)
Rút gọn biểu thức:
a)\(\sqrt{13-\sqrt{160}}-\sqrt{53+4\sqrt{60}}\)
b)\(\sqrt{\left(\sqrt{3}+4\right)\sqrt{19-8\sqrt{3}}+3}\)