\(13+\sqrt{48}\)
\(=13+4\sqrt{3}\)
\(=\left(2\sqrt{3}\right)^2+2\cdot2\sqrt{3}\cdot1+1\)
\(=\left(2\sqrt{3}+1\right)^2\)
?
\(13+\sqrt{48}\)
\(=13+4\sqrt{3}\)
\(=\left(2\sqrt{3}\right)^2+2\cdot2\sqrt{3}\cdot1+1\)
\(=\left(2\sqrt{3}+1\right)^2\)
?
Tính : \(\frac{\sqrt{2\sqrt{3+\sqrt{5-\sqrt{13+\sqrt{48}}}}}}{\sqrt{6}+\sqrt{2}}\)
rút gọn:
\(\dfrac{2\sqrt{3+\sqrt{5-\sqrt{13+\sqrt{48}}}}}{\sqrt{6}+\sqrt{2}}\)
Tính: \((\sqrt{\sqrt{7+\sqrt{48}}}-\sqrt{\sqrt{28-16\sqrt{3}}})\sqrt{\sqrt{7+\sqrt{48}}}\)
Rút gọn biểu thức:
a_ \(\sqrt{13+30\sqrt{2+\sqrt{9+4\sqrt{2}}}}\)
b_\(\sqrt{m+2\sqrt{m-1}}+\sqrt{m-2\sqrt{m-1}}\)
A= 355+135/48-35.13 B= 683-523/16+68.52
A= 355+135/48-35.13 B= 683-523/16+68.52
bài 1 thực hiện các phép tính sau:
a) \(\sqrt{12}+2\sqrt{27}+3\sqrt{75}-9\sqrt{48}\)
b)\(2\sqrt{2}-\sqrt{3^2}\)
c) \(\left(\sqrt{x}-3\right)\left(4-\sqrt{x}\right)\)
bài 2 rút gọn biểu thức sau:
a)\(\frac{\sqrt{15}-\sqrt{6}}{\sqrt{35}-\sqrt{14}}\)
b)\(\frac{2\sqrt{15}-2\sqrt{10}+\sqrt{6}-3}{2\sqrt{5}-2\sqrt{10}-\sqrt{3}+\sqrt{6}}\)
c)\(\frac{\sqrt{10}+\sqrt{15}}{\sqrt{8}+\sqrt{12}}\)
d)\(\frac{x-2\sqrt{x}}{x+4-4\sqrt{x}}\)
A= 355+135/48-35.13
B= 683-523/16+68.52
Giải các phương trình sau:
1, \(\sqrt{x-2}-3\sqrt{x^2-4}=0\)
2, \(x+\sqrt{x-1}=13\)
3, \(\sqrt{x}-\sqrt{x-1}-\sqrt{x-4}+\sqrt{x+9}=0\)
4, \(\sqrt{x+3}=5-\sqrt{x-2}\)
5, \(\sqrt{16x+17}=8x-33\)