Bài 1: Căn bậc hai
Các câu hỏi tương tự
Tính:
1) left(sqrt{45}-sqrt{20}+sqrt{5}right):sqrt{6}
2) frac{sqrt{10}-sqrt{15}}{sqrt{8}-sqrt{12}}
3) frac{1}{3+sqrt{2}}+frac{1}{3-sqrt{2}}
4) sqrt{3}left(sqrt{12}+sqrt{27}-sqrt{3}right)
5) sqrt{144}-sqrt{25}.sqrt{4}
6) frac{1}{sqrt{3}-1}-sqrt{3}+1
Đọc tiếp
Tính:
1) \(\left(\sqrt{45}-\sqrt{20}+\sqrt{5}\right):\sqrt{6}\)
2) \(\frac{\sqrt{10}-\sqrt{15}}{\sqrt{8}-\sqrt{12}}\)
3) \(\frac{1}{3+\sqrt{2}}+\frac{1}{3-\sqrt{2}}\)
4) \(\sqrt{3}\left(\sqrt{12}+\sqrt{27}-\sqrt{3}\right)\)
5) \(\sqrt{144}-\sqrt{25}.\sqrt{4}\)
6) \(\frac{1}{\sqrt{3}-1}-\sqrt{3}+1\)
Rút gọn:
a)\(\sqrt{5-2\sqrt{6}}\)
b)\(\sqrt{7-2\sqrt{6}}\)
C)\(\sqrt{4x^6}\)(\(x\le0\))
d)\(\sqrt{\frac{12x^2y^4}{25}}\)(\(x\ge0\))
rút gọn:
\(\frac{1}{2\sqrt{1}+1\sqrt{2}}+\frac{1}{3\sqrt{2}+2\sqrt{3}}+\frac{1}{4\sqrt{3}+3\sqrt{4}}+....+\frac{1}{25\sqrt{24}+24\sqrt{25}}\)
Rút gọn căn thức:
a)\(\sqrt{\dfrac{59}{25}+\dfrac{6}{5}\sqrt{2}}\)
b)\(\sqrt{\dfrac{129}{16}+\sqrt{2}}\)
c)\(\sqrt{\dfrac{289+4\sqrt{72}}{16}}\)
thực hiện phép tính
A=\(\dfrac{1}{\sqrt{2}+\sqrt{2+\sqrt{3}}}+\dfrac{1}{\sqrt{2-\sqrt{2-\sqrt{3}}}}\)
B=\(\dfrac{6+4\sqrt{2}}{\sqrt{2+\sqrt{6+4\sqrt{2}}}}+\dfrac{6-4\sqrt{2}}{\sqrt{2}-\sqrt{6-4\sqrt{2}}}\)
19 tháng 6 2023 lúc 22:18
Tính tổng S=\(\sqrt{0,49}+\sqrt{\dfrac{1}{9}}-\sqrt{\dfrac{25}{4}}\)
Tìm x
\(\sqrt{x-2+2\sqrt{ }x-3}\) + \(\sqrt{x+6+6+\sqrt{x-3}}\)
Tìm GTNN
a) \(\sqrt{9x^2-6x+1}\) + \(\sqrt{25-30x+9x^2}\)
b) \(\sqrt{x^2-6x+1}\) + \(\sqrt{x^2+10x+25}\)
\(\sqrt{5-2\sqrt{2+\sqrt{9+4\sqrt{2}}}}\sqrt{\sqrt{3-\sqrt{4-\sqrt{2-\sqrt{6-4\sqrt{10-4\sqrt{6}}}}}}}\)
tính
a/ (sqrt{2006}- sqrt{2005}).(sqrt{2006}+ sqrt{2005})
b/ (frac{1}{7-4sqrt{3}}+ frac{2}{7+4sqrt{3}}).(21+4sqrt{3})
c/ 3sqrt{frac{9}{8}}- sqrt{frac{49}{2}}+ sqrt{frac{25}{18}}
d/ ( 5sqrt{28}-2sqrt{63}+3sqrt{112}) : sqrt{7}
e/ left(sqrt{5}+sqrt{3}right)sqrt{8-2sqrt{15}}
f/ (frac{4sqrt{21}-4sqrt{15}-sqrt{14}+sqrt{10}}{4sqrt{6}-2+4sqrt{15}-sqrt{10}}
Đọc tiếp
tính
a/ (\(\sqrt{2006}\)- \(\sqrt{2005}\)).(\(\sqrt{2006}\)+ \(\sqrt{2005}\))
b/ (\(\frac{1}{7-4\sqrt{3}}\)+ \(\frac{2}{7+4\sqrt{3}}\)).(21+4\(\sqrt{3}\))
c/ \(3\sqrt{\frac{9}{8}}\)- \(\sqrt{\frac{49}{2}}\)+ \(\sqrt{\frac{25}{18}}\)
d/ ( \(5\sqrt{28}-2\sqrt{63}+3\sqrt{112}\)) : \(\sqrt{7}\)
e/ \(\left(\sqrt{5}+\sqrt{3}\right)\sqrt{8-2\sqrt{15}}\)
f/ (\(\frac{4\sqrt{21}-4\sqrt{15}-\sqrt{14}+\sqrt{10}}{4\sqrt{6}-2+4\sqrt{15}-\sqrt{10}}\)