1. $2\sqrt[3]{2x-1} = x^{3}+1$
2. $2\sqrt[3]{(x+2)^{2}}-\sqrt[3]{(x-2)^{2}}=\sqrt[3]{x^{2}-4}$
3. $2\sqrt{7x^{3}-11x^{2}+25x-12}= x^{2}+6x-1$
4. $\sqrt[3]{x-9}= (x-3)^{3}+6$ (Đặt $y-3 =\sqrt[3]{x-9}$ )
5. $4x-x^{2}=3\sqrt{4-3\sqrt{10-3x}}$
6. $\sqrt{x+\frac{3}{x}}=\frac{x^{2}+7}{2(x+1)}$
7. $27x^{2}+18x=\sqrt{x+\frac{4}{3}}$
8. $(\sqrt{x+3}-\sqrt{x})(\sqrt{1-x}+1)=1$