\(\sqrt{4}+\sqrt{7}-\sqrt{4}-\sqrt{7}=\left(\sqrt{4}+\sqrt{7}\right)-\left(\sqrt{4}+\sqrt{7}\right)=0\)
\(\sqrt{4}+\sqrt{7}-\sqrt{4}-\sqrt{7}=\left(\sqrt{4}+\sqrt{7}\right)-\left(\sqrt{4}+\sqrt{7}\right)=0\)
chứng minh đẳng thúc
\(\dfrac{5}{4-\sqrt{11}}+\dfrac{1}{3+\sqrt{7}}-\dfrac{6}{\sqrt{7}-2}-\dfrac{\sqrt{7}-5}{2}=4+\sqrt{11}-3\sqrt{7}\)
Thu gọn:
a. \(\sqrt{\dfrac{3\sqrt{3}-4}{2\sqrt{3}+1}}-\sqrt{\dfrac{\sqrt{3}+4}{5-2\sqrt{3}}}\)
b. \(\dfrac{2+\sqrt{3}}{\sqrt{2}+\sqrt{2+\sqrt{3}}}-\dfrac{2-\sqrt{3}}{\sqrt{2}-\sqrt{2-\sqrt{3}}}\)
c. \(\dfrac{4+\sqrt{7}}{\sqrt{14}+\sqrt{4+\sqrt{7}}}-\dfrac{4-\sqrt{7}}{\sqrt{14}+\sqrt{4-\sqrt{7}}}\)
CM:a)\(\sqrt{7-4\sqrt{3}}+\sqrt{7+4\sqrt{3}}=\sqrt{4}\)
b)\(\sqrt{3-\sqrt{5}}+\sqrt{3+\sqrt{5}}=\sqrt{10}\)
tính:
\(\sqrt{\left(\sqrt{7-2}\right)^2}+\sqrt{\left(\sqrt{7-4}\right)^2}\)
Thực hiện phép tính (làm chi tiết):
3) \(\sqrt{8-3\sqrt{7}}+\sqrt{4-\sqrt{7}}\)
1. \(\sqrt{4-\sqrt{7}}-\sqrt{4+\sqrt{7}}+\sqrt{8}\)
2. \(\dfrac{\sqrt{3-2\sqrt{3}}}{\sqrt{17-12\sqrt{2}}}-\dfrac{\sqrt{3+2\sqrt{2}}}{\sqrt{17+12\sqrt{2}}}\)
3.\(\sqrt{7+2\sqrt{6}}-\sqrt{\left(\sqrt{6-1}\right)^2}\)
4\(\sqrt{5-2\sqrt{6}}-\sqrt{5+\sqrt{24}}\)
5.\(\sqrt{4\sqrt{5+\sqrt{3+5\sqrt{48-10\sqrt{7+4\sqrt{3}}}}}}\)
6.\(\sqrt{6+2\sqrt{5-\sqrt{13+\sqrt{48}}}}\)
1. \(\sqrt{4-\sqrt{7}}-\sqrt{4+\sqrt{7}}+\sqrt{8}\)
2. \(\dfrac{\sqrt{3-2\sqrt{3}}}{\sqrt{17-12\sqrt{2}}}-\dfrac{\sqrt{3+2\sqrt{2}}}{\sqrt{17+12\sqrt{2}}}\)
3.\(\sqrt{7+2\sqrt{6}}-\sqrt{\left(\sqrt{6}-1\right)^2}\)
4\(\sqrt{5-2\sqrt{6}}-\sqrt{5+\sqrt{24}}\)
5.\(\sqrt{4\sqrt{5+\sqrt{3+5\sqrt{48-10\sqrt{7+4\sqrt{3}}}}}}\)
6.\(\sqrt{6+2\sqrt{5-\sqrt{13+\sqrt{48}}}}\)
Giải phương trình: 4 3 2
x x x x x x 1 3 4 7 12 14
1 Thực hiện phép tính;
a,\(\sqrt{16}-\sqrt{49}+\sqrt{36}\)
b, \(\left(\sqrt{28}-2\sqrt{175}+\sqrt{63}\right).\sqrt{7}\)
c, \(\sqrt{4-2\sqrt{3}}\left(3+1\right)\)
d, \(\sqrt{7+4\sqrt{3}}.\sqrt{7-4\sqrt{3}}\)