Đáp án:
$a)\dfrac{3}{4}\\ b)0\\ c)\dfrac{\sqrt{2}}{16}.$
Giải thích các bước giải:
$a)\sqrt{45}:\sqrt{80}=\sqrt{\dfrac{45}{80}}=\sqrt{\dfrac{9}{16}}=\dfrac{3}{4}\\ b)\left(\sqrt{20}-\sqrt{45}+\sqrt{5}\right):\sqrt{5}\\ =\dfrac{\sqrt{20}}{\sqrt{5}}-\dfrac{\sqrt{45}}{\sqrt{5}}+\dfrac{\sqrt{5}}{\sqrt{5}}\\ =\sqrt{\dfrac{20}{5}}-\sqrt{\dfrac{45}{5}}+\sqrt{\dfrac{5}{5}}\\ =\sqrt{4}-\sqrt{9}+\sqrt{1}\\ =2-3+1\\ =0\\ c)\dfrac{\sqrt{8^2}}{\sqrt{4^5.2^3}}\\ =\sqrt{\dfrac{8^2}{4^5.2^3}}\\ =\sqrt{\dfrac{(2^3)^2}{(2^2)^5.2^3}}\\ =\sqrt{\dfrac{2^{3.2}}{2^{2.5}.2^3}}\\ =\sqrt{\dfrac{2^6}{2^{10}.2^3}}\\ =\sqrt{\dfrac{2^6}{2^{13}}}\\ =\sqrt{\dfrac{2}{2^{8}}}\\ =\dfrac{\sqrt{2}}{2^{4}}\\ =\dfrac{\sqrt{2}}{16}.$