\(3\sqrt{2}-\sqrt{8}+\sqrt{50}-4\sqrt{32}=3\sqrt{2}-2\sqrt{2}+5\sqrt{2}-16\sqrt{2}=-10\sqrt{2}.\)
\(3\sqrt{2}-\sqrt{8}+\sqrt{50}-4\sqrt{32}=3\sqrt{2}-2\sqrt{2}+5\sqrt{2}-16\sqrt{2}=-10\sqrt{2}.\)
rút gọn các câu sau
a,\(2\sqrt{18}-4\sqrt{50}+3\sqrt{32}\)
b,\(\sqrt{\left(\sqrt{8}-4\right)^2}+\sqrt{8}\)
c,\(\sqrt{14-6\sqrt{5}}+\sqrt{6+2\sqrt{5}}\)
\(A=\sqrt{50}-\dfrac{3}{2}\sqrt{32}-\dfrac{1}{3}\sqrt[]{72}+\sqrt{8}\)
a,(\(\left(\sqrt{50}-\sqrt{32}+\sqrt{8}\right):\sqrt{2}\) b,\(\dfrac{4}{\sqrt{5}-1}-5\sqrt{\dfrac{1}{5}}\)
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.\(10\sqrt{28}-2\sqrt{275}-3\sqrt{343}-\frac{3}{2}\sqrt{396}\)
Tính
a/\(\sqrt{9+4\sqrt{5}}\) b/\(\sqrt{3+2\sqrt{2}}\) c/\(\sqrt{7-2\sqrt{10}}\)
d/\(\sqrt{8+2\sqrt{15}}\) e/\(\sqrt{8}-3\sqrt{32}+\sqrt{72}\) f/\(6\sqrt{12}-\sqrt{20}-2\sqrt{27}+\sqrt{125}\)
g/\(2\sqrt{5}-\sqrt{125}-\sqrt{80}\) h/\(3\sqrt{2}-\sqrt{8}+\sqrt{50}-4\sqrt{32}\)
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=\(\dfrac{1}{2}\sqrt{48}-2\sqrt{75}-\dfrac{\sqrt{33}}{\sqrt{11}}+5\sqrt{1\dfrac{1}{3}}\)
rut gon bt ;
a) \(\left(\sqrt{27}-2\sqrt{17}+\sqrt{7}\right)\cdot\sqrt{7}+7\sqrt{8}\)
b) \(\sqrt{3-2\sqrt{2}}+\sqrt{3+2\sqrt{2}}\)
c) \(9\sqrt{2}-4\sqrt{8}-\sqrt{50}+2\sqrt{32}\)
d) \(\sqrt{3-2\sqrt{2}}-\sqrt{6+4\sqrt{2}}\)
Rút gọn các biểu thức sau
a) 2\(\sqrt{32}\) + 3\(\sqrt{72}-7\sqrt{50}+\sqrt{2}\) b)\(\sqrt{\left(3-\sqrt{3}\right)^2}+\sqrt{\left(2-\sqrt{3}\right)^2}\) c) \(\sqrt{11+6\sqrt{2}}-3+\sqrt{2}\)
d) \(x-4+\sqrt{16-8x+x^2}\left(x>4\right)\) e) \(\dfrac{1}{a-b}\sqrt{a^4\left(a-b\right)^2}vớia< b\)
Rút gọn
\(A=4\sqrt{32}+2\sqrt{50}-8\sqrt{2}-2\sqrt{98}\)
\(B=\frac{1}{\sqrt{6}+\sqrt{10}}-\frac{1}{\sqrt{6}-\sqrt{10}}\)