Rút gọn \(A=\frac{\sqrt{6+2.\left(\sqrt{6}+\sqrt{3}+\sqrt{2}\right)}-\sqrt{6-2.\left(\sqrt{6}-\sqrt{3}+\sqrt{2}\right)}}{\sqrt{2}}\)
Rút gọn : A=\(\left(1-\frac{\sqrt{x}}{\sqrt{x}+1}\right):\left(\frac{2+\sqrt{x}}{x-5\sqrt{x}+6}+\frac{3+\sqrt{x}}{\sqrt{x}-2}-\frac{2+\sqrt{x}}{\sqrt{x}-3}\right)\)
Cho A=\(\left(1-\frac{\sqrt{x}}{\sqrt{x}+1}\right):\left(\frac{2+\sqrt{x}}{x-5\sqrt{x}+6}+\frac{3+\sqrt{x}}{\sqrt{x}-2}-\frac{2+\sqrt{x}}{\sqrt{x}-3}\right)\)
Tìm tập xác định và rút gọn A
\(2\sqrt{4+\sqrt{6-2\sqrt{5}}}\left(\sqrt{10}-\sqrt{2}\right)\)
RÚT GỌN
\(\left[-\sqrt{2,25}+4\sqrt{\left(-2,15\right)^2}-\left(3\sqrt{\dfrac{7}{6}}\right)^2\right]\sqrt{1\dfrac{9}{16}}\)
Rút gọn: \(A=\left(5+\sqrt{21}\right).\left(\sqrt{14}-\sqrt{6}\right).\sqrt{5-\sqrt{21}}\)
thuc hien phep tinh
\(\left[6-3.\left(-\frac{1}{3}^2\right)+\sqrt{0,25}\right]:\sqrt{0,\left(9\right)}\)
\(\left(\frac{1}{2}\right)^2.\sqrt{16}-3^2.\sqrt{0,01}+\left(2^2\right)^2-\left(0,0\left(6\right)\right)+\frac{13}{30}\)
Tính:
\(\sqrt{\left(a+5\right)^2}\); \(\sqrt{\left(9=a\right)^2};\sqrt{\left(11+6\right)\sqrt{2}};\sqrt{a^2+3+2a.\sqrt{2}}\)
1. Tìm x:
a/\(\sqrt{\dfrac{x-1}{x-3}=2}\)
b/\(\sqrt{\left(x-2\right)^2=7}\)
2. Tính:
\(\dfrac{\sqrt{6}+\sqrt{10}}{3+\sqrt{15}}\)