Answer:
10√2 -15√5
Step-by-step explanation:
Radicals are simplified by factoring out squares. Like radicals can be combined.
[tex]\sqrt{2}-(5\sqrt{20}-3\sqrt{18}+\sqrt{125})\\\\=\sqrt{2}-(5\sqrt{4\cdot5}-3\sqrt{9\cdot2}+\sqrt{25\cdot5})\\\\=\sqrt{2}-10\sqrt{5}+9\sqrt{2}-5\sqrt{5}\\\\=\boxed{10\sqrt{2}-15\sqrt{5}}[/tex]
