\(2\dfrac{3}{4}=\dfrac{2\times4+3}{4}=\dfrac{11}{4}\)

\(\sqrt{\left(2-\sqrt{5}\right)^2}-\sqrt{\left(1+\sqrt{5}\right)^2}\\ =\left|2-\sqrt{5}\right|-\left|1+\sqrt{5}\right|\\ =\sqrt{5}-2-1-\sqrt{5}\\ =-2-1\\ =-3\)

\(\dfrac{3-5\sqrt{3}}{\sqrt{3}-5}+6\sqrt{\dfrac{4}{3}}\\ =\dfrac{\sqrt{3}\left(\sqrt{3}-5\right)}{\sqrt{3}-5}+4\sqrt{3}\\ =\sqrt{3}+4\sqrt{3}\\ =5\sqrt{3}\)

\(4x^2-2x^3=0\\ \Rightarrow2x^2\left(2-x\right)=0\\ \Rightarrow\left[{}\begin{matrix}2x^2=0\\2-x=0\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}x=0\\x=2\end{matrix}\right.\)

dòng cuối \(x^3+y^3\)