\(a,=\dfrac{11\sqrt{10}}{10}:\dfrac{45}{2}=\dfrac{11\sqrt{10}}{10}.\dfrac{2}{45}=\dfrac{22\sqrt{10}}{450}=\dfrac{11\sqrt{10}}{225}\\ b,=\dfrac{\sqrt{1728}}{\sqrt{27}.4}=\dfrac{24\sqrt{3}}{3\sqrt{3}.4}=\dfrac{24\sqrt{3}}{12\sqrt{3}}=\dfrac{24}{12}=2\)
\(\dfrac{\sqrt{12,1}}{22,5}=\sqrt{\dfrac{12,1}{22,5^2}}=\sqrt{\dfrac{\dfrac{121}{10}}{\dfrac{2025}{4}}}=\sqrt{\dfrac{242}{10125}}\)
\(\dfrac{\sqrt{12^3}}{\sqrt{3^3}.2^2}=\sqrt{\dfrac{12^3}{3^3.4^2}}=\sqrt{\dfrac{3^3.4^3}{3^3.4^2}}=\sqrt{4}=2\)
\(\dfrac{\sqrt{12,1}}{22,5}=\dfrac{\sqrt{10}.\sqrt{12,1.10}}{225}=\dfrac{\sqrt{121}.\sqrt{10}}{225}=\dfrac{11\sqrt{10}}{225}\)
\(\dfrac{\sqrt{12^3}}{\sqrt{3^3}.2^2}=\dfrac{12\sqrt{12}}{3\sqrt{3}.4}=\sqrt{4}=2\)
