Đáp án:
\(a,\ \dfrac{-5}{8}\\ b,\ 33\\ c,\ 0\\ d,\ 48\sqrt{3}\)
Giải thích các bước giải:
\(a,\ (3\sqrt{18}+2\sqrt{50}-4\sqrt{72}):8\sqrt{2}\\ =(3\sqrt{9.2}+2\sqrt{25.2}-4\sqrt{36.2}):8\sqrt{2}\\ =(9\sqrt{2}+10\sqrt{2}-24\sqrt{2}):8\sqrt{2}\\ =-5\sqrt{2}:8\sqrt{2}\\ =\dfrac{-5}{8}\\ b,\ (-4\sqrt{20}+5\sqrt{500}-3\sqrt{45}):\sqrt{5}\\ =(-4\sqrt{4.5}+5\sqrt{100.5}-3\sqrt{9.5}):\sqrt{5}\\ =(-8\sqrt{5}+50\sqrt{5}-9\sqrt{5}):\sqrt{5}\\ =33\sqrt{5}:\sqrt{5}\\ =33\\ c,\ \left (\sqrt{3}+\dfrac{1}{\sqrt{3}}-1-\sqrt{3}-\dfrac{1}{\sqrt{3}}+1 \right ):\sqrt{48}\\ =\left [(\sqrt{3}-\sqrt{3})+\left (\dfrac{1}{\sqrt{3}}-\dfrac{1}{\sqrt{3}} \right )+(-1+1) \right ]:\sqrt{48}\\ =0:\sqrt{48}\\ =0\\ d,\ 2\sqrt{48}+4\sqrt{300}-\sqrt{72}+3\sqrt{8}\\ =2\sqrt{16.3}+4\sqrt{100.3}-\sqrt{36.2}+3\sqrt{4.2}\\ =8\sqrt{3}+40\sqrt{3}-6\sqrt{2}+6\sqrt{2}\\ =(8\sqrt{3}+40\sqrt{3})+(-6\sqrt{2}+6\sqrt{2})\\ =48\sqrt{3}\)
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