Rút gọn:
A=\(\sqrt{6-2\sqrt{5}}-\sqrt{6+2\sqrt{5}}\)
B=\(\sqrt{9+4\sqrt{5}}-\sqrt{9-4\sqrt{5}}\)
C=\(\sqrt{14-6\sqrt{5}-\sqrt{14+6\sqrt{5}}}\)
* Tính
a. A=\(\left(\dfrac{6+\sqrt{20}}{3+\sqrt{5}}+\dfrac{\sqrt{14}-\sqrt{2}}{\sqrt{7}-1}\right):\left(2+\sqrt{2}\right)\)
b. B=\(\sqrt{5-2\sqrt{6}}+\sqrt{5+2\sqrt{6}}-\dfrac{11}{2\sqrt{3}+1}\)
Rút gọn
a) A=\(\sqrt{14+6\sqrt{5}}+\sqrt{14-6\sqrt{5}}\)
b)B=\(\sqrt{7-4\sqrt{3}}-\sqrt{7+4\sqrt{3}}\)
Giúp e với ạ
a)\(\sqrt{25-4\sqrt{10-4\sqrt{15+4\sqrt{3}}}}\)
b)\(\sqrt{14-6\sqrt{5+\sqrt{14+6\sqrt{5}}}}\)
c)
Rút gọn:
a/ \(\left(4+\sqrt{3}\right).\sqrt{19-8\sqrt{3}}\)
b/ \(\sqrt{14-6\sqrt{5}}-\sqrt{14+6\sqrt{5}}\)
a : \(\sqrt{\left(2\sqrt{2}-1\right)^2}-\sqrt{17+12\sqrt{2}}\)
b : \(\sqrt{\left(2-\sqrt{5}\right)^2}+\sqrt{14-6\sqrt{5}}\)
c : \(\sqrt{\left(4-3\sqrt{2}\right)^2}-\sqrt{19+6\sqrt{2}}\)
rút gon các biểu thức sau:
a)\(\frac{\sqrt{a}-a}{\sqrt{a}-1}\)
b)\(\frac{a-\sqrt{b}}{\sqrt{b}}:\frac{\sqrt{b}}{a+\sqrt{b}}\)
c)\(2\sqrt{5}-\sqrt{125}-\sqrt{80}+\sqrt{605}\)
d)\(\left(\sqrt{28}-2\sqrt{14}+\sqrt{7}\right).\sqrt{7}+7\sqrt{8}\)
e)\(\sqrt{6+2\sqrt{5}}+\sqrt{6-2\sqrt{5}}\)
tinh a+b biết \(\sqrt{14-6\sqrt{5}}=a+b\sqrt{5}\)
Rút gọn biểu thức :
a) A=\(\sqrt[3]{2+\sqrt{5}}+\sqrt[3]{2-\sqrt{5}}\).
b)B=\(\sqrt[3]{20+14\sqrt{2}}+\sqrt[3]{20-14\sqrt{2}}\)
c) C=\(\sqrt[3]{9+4\sqrt{5}}+\sqrt[3]{9-4\sqrt{5}}.\)