Violympic toán 9
Các câu hỏi tương tự
Thực hiện phép tính:
a)\(\frac{5}{a-\sqrt{11}}+\frac{1}{3\sqrt{7}}-\frac{6}{\sqrt{7}-2}-\frac{\sqrt{7}-5}{2}\)
b)\(\frac{\sqrt{5}-\sqrt{3}}{\sqrt{5}+\sqrt{3}}+\frac{\sqrt{5}+\sqrt{3}}{\sqrt{5}-\sqrt{3}}-\frac{\sqrt{5}+1}{\sqrt{5}-1}\)
c)\(\left(\frac{9-2\sqrt{14}}{\sqrt{7}-\sqrt{2}}\right)^2-\left(\frac{9+2\sqrt{14}}{\sqrt{7}-\sqrt{2}}\right)^2\)
Thực hiện phép tính:
\(\frac{3+\sqrt{5}}{\sqrt{3-\sqrt{5}}}+\frac{3-\sqrt{5}}{\sqrt{3+\sqrt{5}}}\)
1. thực hiện phép tính
a.frac{3+sqrt{7}}{3-sqrt{7}}-frac{3-sqrt{7}}{3+sqrt{7}}
b,left(frac{sqrt{2}+sqrt{5}}{sqrt{2}-5}-frac{sqrt{2}-5}{sqrt{2}+5}right):frac{sqrt{2}}{23}
c,5sqrt{frac{1}{5}}+frac{1}{2}sqrt{20}+sqrt{5}
d,sqrt{frac{1}{2}}+sqrt{4,5}+12,5
e, frac{1}{2}sqrt{48}-2sqrt{75}-sqrt{54}+5sqrt{1frac{1}{3}}
Đọc tiếp
1. thực hiện phép tính
a.\(\frac{3+\sqrt{7}}{3-\sqrt{7}}-\frac{3-\sqrt{7}}{3+\sqrt{7}}\)
b,\(\left(\frac{\sqrt{2}+\sqrt{5}}{\sqrt{2}-5}-\frac{\sqrt{2}-5}{\sqrt{2}+5}\right):\frac{\sqrt{2}}{23}\)
c,\(5\sqrt{\frac{1}{5}}+\frac{1}{2}\sqrt{20}+\sqrt{5}\)
d,\(\sqrt{\frac{1}{2}}+\sqrt{4,5}+12,5\)
e, \(\frac{1}{2}\sqrt{48}-2\sqrt{75}-\sqrt{54}+5\sqrt{1\frac{1}{3}}\)
Thực hiện phép tính:
\(\frac{\sqrt{2+\sqrt{3}}}{2}:\left(\frac{\sqrt{2+\sqrt{3}}}{2}+\frac{2}{\sqrt{6}}+\frac{\sqrt{2+\sqrt{3}}}{2\sqrt{3}}\right)\)
\(\frac{\sqrt{3}+\sqrt{11+6\sqrt{2}}-\sqrt{5+2\sqrt{6}}}{\sqrt{2}+\sqrt{6+2\sqrt{5}}-\sqrt{7+2\sqrt{10}}}\)
Thực hiện phép tính : \(\frac{5-\sqrt{5}}{\sqrt{5}-1}-\frac{\sqrt{15}+\sqrt{6}}{\sqrt{3}}\)
Thực hiện phép tính:
a)frac{sqrt{9-6sqrt{2}}-sqrt{6}}{sqrt{3}}
b)sqrt{frac{3-2sqrt{2}}{7-12sqrt{2}}}-sqrt{frac{3+2sqrt{2}}{17+12sqrt{2}}}
c)sqrt{6-sqrt{6-sqrt{25-sqrt{96}}}}
d)frac{2+sqrt{3}}{sqrt{2}+sqrt{2+sqrt{3}}}+frac{2-sqrt{3}}{sqrt{2}-sqrt{2-sqrt{3}}}
e)frac{sqrt{3-sqrt{5}}}{sqrt{2}}
f)frac{sqrt{5}+sqrt{3}}{sqrt{5}-sqrt{3}}+frac{sqrt{5}-sqrt{3}}{sqrt{5}+sqrt{3}}
g)sqrt{left|40sqrt{2}-57right|}-sqrt{40sqrt{2}+57}
h) frac{sqrt{2+sqrt{3}}+sqrt{2-sqrt{3}}}{sqrt{2+sqrt{3}}-sqrt{2-sqrt{3...
Đọc tiếp
Thực hiện phép tính:
a)\(\frac{\sqrt{9-6\sqrt{2}}-\sqrt{6}}{\sqrt{3}}\)
b)\(\sqrt{\frac{3-2\sqrt{2}}{7-12\sqrt{2}}}-\sqrt{\frac{3+2\sqrt{2}}{17+12\sqrt{2}}}\)
c)\(\sqrt{6-\sqrt{6-\sqrt{25-\sqrt{96}}}}\)
d)\(\frac{2+\sqrt{3}}{\sqrt{2}+\sqrt{2+\sqrt{3}}}+\frac{2-\sqrt{3}}{\sqrt{2}-\sqrt{2-\sqrt{3}}}\)
e)\(\frac{\sqrt{3-\sqrt{5}}}{\sqrt{2}}\)
f)\(\frac{\sqrt{5}+\sqrt{3}}{\sqrt{5}-\sqrt{3}}+\frac{\sqrt{5}-\sqrt{3}}{\sqrt{5}+\sqrt{3}}\)
g)\(\sqrt{\left|40\sqrt{2}-57\right|}-\sqrt{40\sqrt{2}+57}\)
h) \(\frac{\sqrt{2+\sqrt{3}}+\sqrt{2-\sqrt{3}}}{\sqrt{2+\sqrt{3}}-\sqrt{2-\sqrt{3}}}-\frac{\sqrt{2+\sqrt{3}}-\sqrt{2-\sqrt{3}}}{\sqrt{2+\sqrt{3}-\sqrt{2-\sqrt{3}}}}\)
Bài 1. (2,0 điểm) Thực hiện phép tính: n) 7/9 * sqrt(81) - 1/2 * sqrt(16) . c) (sqrt(8/3) - sqrt(24) + sqrt(50/3)) , sqrt 12 . » sqrt((sqrt(7) - 4) ^ 2) + sqrt(7) 1/(5 + 2sqrt(3)) + 1/(5 - 2sqrt(3))
Thực hiện phép tính:
\(\left(\frac{1}{2-\sqrt{5}}+\frac{2}{\sqrt{5}+\sqrt{3}}\right).\sqrt{21-12\sqrt{3}}\)
Thực hiện phép tính:
a) \(\left(\frac{1}{7-4\sqrt{3}}+\frac{3}{7+4\sqrt{3}}\right)\left(7+2\sqrt{3}\right)\)
b)\(\left(\frac{3\sqrt{5}-\sqrt{15}}{\sqrt{27}-3}+\frac{2\sqrt{5}}{\sqrt{3}}\right).4\sqrt{15}\)
c)\(\sqrt{5-2\sqrt{6-25-\sqrt{96}}}\)
d)\(\sqrt{23-2\sqrt{112}}+\sqrt{23+2\sqrt{112}}\)