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2\sqrt{5}-5\sqrt{5}+\sqrt{45}
Factor 125=5^{2}\times 5. Rewrite the square root of the product \sqrt{5^{2}\times 5} as the product of square roots \sqrt{5^{2}}\sqrt{5}. Take the square root of 5^{2}.
-3\sqrt{5}+\sqrt{45}
Combine 2\sqrt{5} and -5\sqrt{5} to get -3\sqrt{5}.
-3\sqrt{5}+3\sqrt{5}
Factor 45=3^{2}\times 5. Rewrite the square root of the product \sqrt{3^{2}\times 5} as the product of square roots \sqrt{3^{2}}\sqrt{5}. Take the square root of 3^{2}.
0
Combine -3\sqrt{5} and 3\sqrt{5} to get 0.
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