Question

simplify - 12√18-6√20-3√50+8√45

Answer 1

$$\begin{gathered} 12\sqrt{18}-6\sqrt{20}-3\sqrt{50}+8\sqrt{45} \\ =12\sqrt{2\times 9}-6\sqrt{5\times 4}-3\sqrt{25\times 2}+8\sqrt{5\times 9} \\ =36\sqrt{2}-12\sqrt{5}-15\sqrt{2}+24\sqrt{5} \\ =21\sqrt{2}+12\sqrt{5} \end{gathered}$$