Question

Solve:$\frac{-4\left(3-\sqrt{5}+2\sqrt{2}\right)+4\sqrt{10}\left(3-\sqrt{5}+2\sqrt{2}\right)}{-144}$

Answer 1

$\frac{-4(3-\sqrt{5}+2\sqrt{2})+4\sqrt{10}(3-\sqrt{5}+2\sqrt{2})}{-144}\Rightarrow \frac{-12+4\sqrt{5}-8\sqrt{2}+12\sqrt{10}-20\sqrt{2}+16\sqrt{5}}{144}\Rightarrow \frac{20\sqrt{5}-28\sqrt{2}+12\sqrt{10}-12}{144}\Rightarrow \frac{28}{144}\sqrt{2}-\frac{20}{144}\sqrt{5}-\frac{12}{144}\sqrt{10}+\frac{12}{144}\Rightarrow \frac{7}{36}\sqrt{2}-\frac{5}{36}\sqrt{5}-\frac{1}{12}\sqrt{10}+\frac{1}{12}$