\(\sqrt[3]{-2}.\sqrt[3]{32}+\sqrt{2}.\sqrt{32}\)
\(=\sqrt[3]{-64}+\sqrt{64}\)
\(=\sqrt[3]{\left(-4\right)^3}+\sqrt{8^2}\)
\(=-4+8\)
\(=4\)
\(\sqrt[3]{-2}.\sqrt[3]{32}+\sqrt{2}.\sqrt{32}\)
\(=\sqrt[3]{-64}+\sqrt{64}\)
\(=\sqrt[3]{\left(-4\right)^3}+\sqrt{8^2}\)
\(=-4+8\)
\(=4\)
\(\sqrt{17-12\sqrt{2}}-\sqrt{24-8\sqrt{8}}\)
\(\sqrt{17-3\sqrt{32}}+\sqrt{17+3\sqrt{32}}\)
\(\sqrt{11+6\sqrt{2}}-\sqrt{11-6\sqrt{2}}\)
cần gấp
tính
A=\(\left(1-\sqrt{7}\right).\dfrac{\sqrt{7}+7}{2\sqrt{7}}\)
B=\(3\sqrt{3}+4\sqrt{12}-5\sqrt{27}\)
C=\(\sqrt{32}-\sqrt{50}+\sqrt{18}\)
D=\(\sqrt{72}+\sqrt{4\dfrac{1}{2}}-\sqrt{32}-\sqrt{162}\)
E=\(\dfrac{1}{2}\sqrt{48}-2\sqrt{75}-\dfrac{\sqrt{33}}{\sqrt{11}}+5\sqrt{1\dfrac{1}{3}}\)
6) (3\(\sqrt{2}\) -\(\sqrt{3}\))(\(\sqrt{3}\)+3\(\sqrt{2}\))
7) \(\sqrt{72}\)+\(\sqrt{4\dfrac{1}{2}}\) - \(\sqrt{32}\) - \(\sqrt{162}\)
1) Tính
a) \(\dfrac{1}{2-\sqrt{3}}\)-3\(\sqrt{\dfrac{1}{3}}\)\(+\sqrt{12}\)
b) \(\dfrac{2}{1+\sqrt{2}}-\sqrt{9-\sqrt{32}}\)
a
\(\sqrt{32}\)+\(\sqrt{50}\) - 2\(\sqrt{200}\) + 3\(\sqrt{72}\)
b)\(\dfrac{3}{\sqrt{ }2-1}\) + \(\sqrt{\left(3-\sqrt{2}\right)^{^2}}\) - 2\(\sqrt{2}\)
rút gọn các biểu thức trên
\(3\sqrt{2}\) - \(\sqrt{8}\) + \(\sqrt{50}\) - 4\(\sqrt{32}\)
\(\left\{{}\begin{matrix}\sqrt{x}+\sqrt[4]{32-x}-y^2=-3\\\sqrt[4]{x}+\sqrt{32-x}+6y=24\end{matrix}\right.\)
Rút Gọn
1.\(3\sqrt{3}+4\sqrt{12}-5\sqrt{27}\)
2.\(\sqrt{32}-\sqrt{50}+\sqrt{18}\)
3.\(\sqrt{72}+\sqrt{4\frac{1}{2}}-\sqrt{32}-\sqrt{162}\)
4.\(\left(\sqrt{325}-\sqrt{117}+2\sqrt{208}\right):\sqrt{13}\)
5.\(\left(\sqrt{12}-\sqrt{48}-\sqrt{108}-\sqrt{192}\right):2\sqrt{3}\)
6.\(\left(2\sqrt{112}-5\sqrt{7}+2\sqrt{63}-2\sqrt{28}\right)\sqrt{7}\)
7.\(\left(2\sqrt{27}-3\sqrt{48}+3\sqrt{75}-\sqrt{192}\right)\left(1-\sqrt{3}\right)\)
8.\(7\sqrt{24}-\sqrt{150}-5\sqrt{54}\)
9.\(2\sqrt{20}-\sqrt{50}+3\sqrt{80}-\sqrt{320}\)
10.\(\sqrt{32}-\sqrt{50}+\sqrt{98}-\sqrt{72}\)
11.\(3\sqrt{2}-4\sqrt{18}+2\sqrt{32}-\sqrt{50}\)
12.\(5\sqrt{48}-4\sqrt{27}-2\sqrt{75}+\sqrt{108}\)
13.\(2\sqrt{24}-2\sqrt{54}+3\sqrt{6}-\sqrt{150}\)
14.\(\sqrt{125}-2\sqrt{20}-3\sqrt{80}+4\sqrt{45}\)
15.\(2\sqrt{28}+2\sqrt{63}-3\sqrt{175}+\sqrt{112}\)
16.\(10\sqrt{28}-2\sqrt{275}-3\sqrt{343}-\frac{3}{2}\sqrt{396}\)
\(A=\sqrt{50}-\dfrac{3}{2}\sqrt{32}-\dfrac{1}{3}\sqrt[]{72}+\sqrt{8}\)