câu 3: Thực hiện phép tính:
a) \(\sqrt{72}+\dfrac{2}{5}.\sqrt{50}-\sqrt{242}\)
b) \(5\sqrt{32}-7\sqrt{50}+2\sqrt{98}-3\sqrt{72}\)
c) \(-5\sqrt{18}+2\sqrt{45}-7\sqrt{20}+3\sqrt{72}\)
d) \(\dfrac{1}{3}\sqrt{27}+\sqrt{12}-\dfrac{4}{5}\sqrt{75}-\dfrac{1}{2}\sqrt{147}\)
e) \(9\sqrt{54}+2\sqrt{112}-4\sqrt{252}+3\sqrt{96}\)
f) \(4\sqrt{12}+2\sqrt{75}-\dfrac{1}{3}\sqrt{3}+\sqrt{147}\)
g) \(\dfrac{1}{2}\sqrt{200}+\sqrt{18}-2\sqrt{8}+6\sqrt{6}\)
a) \(\sqrt{72}+\dfrac{2}{5}\cdot\sqrt{50}-\sqrt{242}\)
\(=6\sqrt{2}+2\sqrt{2}-11\sqrt{2}\)
\(=-3\sqrt{2}\)
b) \(5\sqrt{32}-7\sqrt{50}+2\sqrt{98}-3\sqrt{72}\)
\(=20\sqrt{2}-35\sqrt{2}+14\sqrt{2}-18\sqrt{2}\)
\(=-19\sqrt{2}\)
c) \(-5\sqrt{18}+2\sqrt{45}-7\sqrt{20}+3\sqrt{72}\)
\(=-15\sqrt{2}+6\sqrt{5}-14\sqrt{5}+18\sqrt{2}\)
\(=3\sqrt{2}-8\sqrt{5}\)
d) \(\dfrac{1}{3}\sqrt{27}+\sqrt{12}-\dfrac{4}{5}\sqrt{75}-\dfrac{1}{2}\sqrt{147}\)
\(=\sqrt{3}+2\sqrt{3}-4\sqrt{3}-\dfrac{7\sqrt{3}}{2}\)
\(=-\dfrac{9\sqrt{3}}{2}\)
e) \(9\sqrt{54}+2\sqrt{112}-4\sqrt{252}+3\sqrt{96}\)
\(=24\sqrt{6}+8\sqrt{7}-24\sqrt{7}+12\sqrt{6}\)
\(=39\sqrt{6}-16\sqrt{7}\)
f) \(4\sqrt{12}+2\sqrt{75}-\dfrac{1}{3}\sqrt{3}+\sqrt{147}\)
\(=8\sqrt{3}-10\sqrt{3}-3\sqrt{3}-7\sqrt{3}\)
\(=-12\sqrt{3}\)
g) \(\dfrac{1}{2}\sqrt{200}+\sqrt{18}-2\sqrt{8}+6\sqrt{6}\)
\(=5\sqrt{2}+3\sqrt{2}-4\sqrt{2}+6\sqrt{6}\)
\(=4\sqrt{2}+6\sqrt{6}\)
g)\(\dfrac{1}{2}\cdot\sqrt{100\cdot2}+\sqrt{9\cdot2}-2\cdot\sqrt{4\cdot2}+6\sqrt{6}=5\cdot\sqrt{2}+3\cdot\sqrt{2}-4\cdot\sqrt{2}+6\sqrt{6}=4\cdot\sqrt{2}+6\cdot\sqrt{6}\)
