a,\(\sqrt{8+2\sqrt{15}}\) -\(\sqrt{6+2\sqrt{15}}\)
b, \(\sqrt{17-2\sqrt{72}}-\sqrt{19+2\sqrt{18}}\)
c, \(\sqrt{8-2\sqrt{7}}+\sqrt{8+2\sqrt{7}}\)
d, \(\sqrt{12+2\sqrt{11}}-\sqrt{12-2\sqrt{11}}\)
e, \(\sqrt{10-2\sqrt{21}}-\sqrt{9-2\sqrt{14}}\)
\(\dfrac{\sqrt{10}-\sqrt{15}}{\sqrt{8}-\sqrt{12}}\)
\(\dfrac{\sqrt{6}-\sqrt{15}}{\sqrt{35}-\sqrt{14}}\)
\(\dfrac{5+\sqrt{5}}{\sqrt{10}+\sqrt{2}}\)
So sánh : \(\sqrt{7}-\sqrt{8}\)và \(\sqrt{2}-\sqrt{3}\)
Rút gọn : a) \(\sqrt{21+8\sqrt{5}}+\sqrt{9-4\sqrt{5}}\)
b) \(\frac{\sqrt{10}+\sqrt{15}}{\sqrt{8}+\sqrt{12}}\)
rút gọn
a,\(\dfrac{\sqrt{10}-\sqrt{15}}{\sqrt{8}-\sqrt{12}}\) b,\(\dfrac{\sqrt{15}-\sqrt{6}}{\sqrt{35}-\sqrt{14}}\) c,\(\dfrac{5+\sqrt{5}}{\sqrt{10}+\sqrt{2}}\)
1`)So Sanh
a)\(\sqrt{24}+\sqrt{45}\) va 12
b)\(\sqrt{37}-\sqrt{15}\)va 2
giup mk voi nhe
Rút gọn a)\(\sqrt{21+8\sqrt{5}}\)+\(\sqrt{9-4\sqrt{5}}\) b) \(\frac{\sqrt{10}+\sqrt{15}}{\sqrt{8}+\sqrt{12}}\)
So sánh \(\sqrt{7}\)_\(\sqrt{8}\)và \(\sqrt{2}-\sqrt{3}\)
a) Tính giá trị biểu thức:
N=\(\frac{\sqrt{15-10\sqrt{2}}+\sqrt{13+4\sqrt{10}}-\sqrt{11+2\sqrt{10}}}{2\sqrt{3+2\sqrt{2}}+\sqrt{9-4\sqrt{2}}+\sqrt{12+8\sqrt{2}}}\)
b)Rút gọn biểu thức:
A=\(\frac{x^3-3x+\left(x^2-1\right)\sqrt{x^2-4}-2}{x^3-3x+\left(x^2-1\right)\sqrt{x^2-4}+2}\),trị x>2
rút gọn :a/\(\frac{\sqrt{10}-\sqrt{15}}{\sqrt{8}-\sqrt{12}}\)
1) Rút gọn
\(A=\sqrt{\frac{8+\sqrt{15}}{2}}+\sqrt{\frac{8-\sqrt{15}}{2}}\)
2) So sánh: \(A=\sqrt{4-\sqrt{15}}\left(4+\sqrt{15}\right)\left(\sqrt{10}-\sqrt{6}\right)\)và \(\sqrt{3}\)