\(\sqrt{4\sqrt{6}+8\sqrt{3}+4\sqrt{2}+8}=\sqrt{4\sqrt{2}\left(\sqrt{3}+\sqrt{6}+1+\sqrt{2}\right)}=2\sqrt{\sqrt{2}\left(\sqrt{3}+\sqrt{6}+1+\sqrt{2}\right)}\)
\(\sqrt{7-4\sqrt{3}}\) + \(\sqrt{12+6\sqrt{3}}\)
rút gọn biểu thức trên
( \(\dfrac{3\sqrt{x}+6}{x-4}\) + \(\dfrac{\sqrt{x}}{\sqrt{x}-2}\) ) : \(\dfrac{x-9}{\sqrt{x}-3}\)
rút gọn biểu thức
rút gọn biểu thức:
\(\sqrt{8+4\sqrt{3}}-\sqrt{9-6\sqrt{2}}\)
Giúp mình gấp với ạ. Cảm ơn trước
Rút gọn biểu thức \(P=(12-6\sqrt{3})\sqrt{\dfrac{3}{14-8\sqrt{3}}} -3\sqrt{2(1-\sqrt{-2\sqrt{3}+4})+2\sqrt{{4}+2\sqrt{3}}}\)
\(A=\frac{\sqrt{3}-\sqrt{6}}{1-\sqrt{2}}-\frac{2+\sqrt{8}}{1+\sqrt{2}}\) rút gọn biểu thức
\(B=\left(\frac{1}{x-4}-\frac{1}{x+4\sqrt{x}+4}\right).\frac{x+2\sqrt{x}}{\sqrt{x}}\) rút gọn biểu thức
a)\(\frac{1}{\sqrt{8}+\sqrt{7}}+\sqrt{175}-\frac{6\sqrt{2}-4}{3-\sqrt{2}}\)
b)\(\sqrt{2-\sqrt{3}}-\sqrt{\frac{3}{2}}\)
c)\(\frac{\sqrt{30}-\sqrt{2}}{\sqrt{8-\sqrt{15}}}-\sqrt{8-\sqrt{49+8\sqrt{3}}}\)
d) \(\frac{2+\sqrt{3}}{\sqrt{2}+\sqrt{2+\sqrt{3}}}+\frac{2-\sqrt{3}}{\sqrt{2}-\sqrt{2-\sqrt{3}}}\)
e)\(\frac{\sqrt{2}+\sqrt{3}+\sqrt{6}+\sqrt{8}+4}{\sqrt{2}+\sqrt{3}+\sqrt{4}}\)
f)\(\frac{\left(5+2\sqrt{6}\right)\left(49-20\sqrt{6}\right)\sqrt{5-2\sqrt{6}}}{9\sqrt{3}-11\sqrt{2}}\)
g)\(\frac{\frac{\sqrt{2+\sqrt{3}}}{2}}{\frac{\sqrt{2+\sqrt{3}}}{2}-\frac{2}{\sqrt{6}}+\frac{\sqrt{2+\sqrt{3}}}{2\sqrt{3}}}\)
RÚT GỌN:
1)\(\sqrt{3+2\sqrt{2}}\) +\(\sqrt{6-4\sqrt{2}}\)
2)\(\frac{a\sqrt{a}-8+2a-4\sqrt{a}}{a-4}\)
rÚT GỌN: G=\(\sqrt{3+\sqrt{5}}+\sqrt{7-3\sqrt{6}}-\sqrt{2}\)
chững minh : a) \(2\sqrt{2}\left(\sqrt{3}-2\right)+\left(1+2\sqrt{2}\right)^2-2\sqrt[]{6}=9\)
b)\(\left(3+\sqrt{5}\right)\left(\sqrt{10}-\sqrt{2}\right)\sqrt{3-\sqrt{5}}=8\)
c)\(\sqrt{\dfrac{4}{\left(2-\sqrt{5}\right)^2}}-\sqrt{\dfrac{4}{\left(2+\sqrt{5}\right)^2}}=8\)
giúp mk với tối mai mk nạp rồi
Rút gọn:
\(\frac{\sqrt{8}-\sqrt{6}}{2-\sqrt{3}}+\frac{\sqrt{8}+\sqrt{6}}{2+\sqrt{3}}\)
