Các câu hỏi tương tự
Tính:
\(\sqrt{\frac{9}{\sqrt{14+4\sqrt{6}}}}-\sqrt{\frac{9}{\sqrt{14-4\sqrt{6}}}}\)
\(\sqrt{3+\sqrt{5}}-\sqrt{4+\sqrt{7}}+\frac{\sqrt{14}}{2}\)
Rút gọn biểu thức sau:
A= \(\sqrt{11-4\sqrt{7}}+\frac{4}{3-\sqrt{7}}-\frac{21}{\sqrt{7}}\)
\(\left(\frac{1}{2}\sqrt[3]{20+14\sqrt{2}}\times\sqrt{6-4\sqrt{4}}+\frac{1}{2}\sqrt[3]{\left(a+3\right)\sqrt{a}-3a-1}\right)\div\left(\frac{a-1}{2\left(\sqrt{a}+1\right)}+1\right)\)
1/ frac{2}{3-sqrt{7}}sqrt{frac{6sqrt{2}-2sqrt{14}}{3sqrt{2}+sqrt{14}}}2/ sqrt{6+2sqrt{sqrt{5}-sqrt{13-sqrt{48}}}}3/ frac{sqrt{3-2sqrt{2}}}{sqrt{17-12sqrt{2}}}-frac{sqrt{3+2sqrt{2}}}{sqrt{17+12sqrt{2}}}4/ frac{24}{sqrt{7}+1}+frac{4}{3+sqrt{7}}-frac{3}{sqrt{7}+2}left(4-sqrt{7}right)5/ sqrt{7-3sqrt{5}}left(7+3sqrt{5}right)left(3sqrt{2}+sqrt{10}right)
Đọc tiếp
1/ \(\frac{2}{3-\sqrt{7}}\sqrt{\frac{6\sqrt{2}-2\sqrt{14}}{3\sqrt{2}+\sqrt{14}}}\)
2/ \(\sqrt{6+2\sqrt{\sqrt{5}-\sqrt{13-\sqrt{48}}}}\)
3/ \(\frac{\sqrt{3-2\sqrt{2}}}{\sqrt{17-12\sqrt{2}}}-\frac{\sqrt{3+2\sqrt{2}}}{\sqrt{17+12\sqrt{2}}}\)
4/ \(\frac{24}{\sqrt{7}+1}+\frac{4}{3+\sqrt{7}}-\frac{3}{\sqrt{7}+2}\left(4-\sqrt{7}\right)\)
5/ \(\sqrt{7-3\sqrt{5}}\left(7+3\sqrt{5}\right)\left(3\sqrt{2}+\sqrt{10}\right)\)
RÚT GỌN BIỂU THỨC
A=\(4-\sqrt{21-8\sqrt{5}}\)
B=\(\sqrt{4-2\sqrt{3}+1}\)
C=\(\sqrt{8+2\sqrt{15}}-\sqrt{5-2\sqrt{6}}\)
D=\(\sqrt{28-10\sqrt{3}}+\sqrt{4+2\sqrt{3}}\)
E=\(\sqrt{14-6\sqrt{5}}-\sqrt{21-8\sqrt{5}}\)
F=\(\sqrt{19-2\sqrt{40}}-\sqrt{19+3\sqrt{40}}\)
\(\frac{1}{\sqrt{2x-3}}+\frac{4}{\sqrt{y-2}}+\frac{16}{\sqrt{3z-1}}+\sqrt{2x-3}+\sqrt{y-2}+\sqrt{3z-1}=14\)
\((\frac{\sqrt{c}}{\sqrt{c}+2}-\frac{\sqrt{c}}{\sqrt{c}-2}+\frac{4\sqrt{c}-1}{c-4})\cdot\frac{\sqrt{c}+2}{1}\) rút gọn hộ mk vs mk cần gấp
Cho biếu thức : P = \(\frac{x\sqrt{x}-3}{x-2\sqrt{x}-3}-\frac{2\left(\sqrt{x}-3\right)}{\sqrt{x}+1}+\frac{\sqrt{x}+3}{3-\sqrt{x}}\)
a) Rút gọn P
b) Tính giá trị của P với x = 14 - \(6\sqrt{5}\)
c) Tìm GTNN của P