1,\(\sqrt{49-12\sqrt{ }5}+\sqrt{49+12\sqrt{ }5}\)
2,\(\sqrt{29+12\sqrt{ }5}\)+\(\sqrt{29-12\sqrt{ }5}\)
3,\(\sqrt{31-12\sqrt{ }3}-\sqrt{31+12\sqrt{ }3}\)
4,\(\sqrt{39-12\sqrt{ }3}-\sqrt{39+12\sqrt{ }3}\)
\(\sqrt{6+\sqrt{24}+\sqrt{12}+\sqrt{8}}-\sqrt{3}=\sqrt{2}+1\)
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) \(\dfrac{1}{\sqrt{5}-\sqrt{3}}\)\(-\)\(\dfrac{1}{\sqrt{5+\sqrt{3}}}\)
Tính B=\(\sqrt{4+2\sqrt{3}}-\sqrt{4-2\sqrt{3}}\)
C=\(\sqrt{94-42\sqrt{5}}-\sqrt{94+42\sqrt{5}}\)
D=\(\left(4+\sqrt{15}\right)\left(\sqrt{10}-\sqrt{6}\right)\sqrt{4-\sqrt{15}}\)
E=\(\sqrt{6+\sqrt{24}+\sqrt{12}+\sqrt{8}}-\sqrt{3}-\sqrt{2}-15\)
F=\(\sqrt{5}-\sqrt{3-\sqrt{29-12\sqrt{5}}}\)
rút gọn biểu thức
I= \(\sqrt{6+\sqrt{24}+\sqrt{12}+\sqrt{8}}\)
thực hiện phép tính \(\sqrt{14-8\sqrt{3}}-\sqrt{24-12\sqrt{3}}\)
Thực hiện các phép tính sau:
a)\(\dfrac{13\sqrt{12}-4\sqrt{6}}{24-4\sqrt{3}}\)
b)\(\dfrac{9\sqrt{6}-12\sqrt{3}}{3\sqrt{6}-3\sqrt{3}}\)
thực hiện phép tính
\(\sqrt{14-8\sqrt{3}}-\sqrt{24-12\sqrt{3}}\)
Thực hiện phép tính:
a) \(\sqrt{24+8\sqrt{5}}-\sqrt{9-4\sqrt{5}}.\)
b) \(\sqrt{\sqrt{5}-\sqrt{3-\sqrt{29-12\sqrt{5}}}}\).
c) \(\dfrac{1}{1+\sqrt{2}}+\dfrac{1}{\sqrt{2}+\sqrt{3}}+\dfrac{1}{\sqrt{3}+\sqrt{4}}+....+\dfrac{1}{\sqrt{99}+\sqrt{100}}.\)