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0\sqrt{2}-3\sqrt{125}
Multiply 0 and 5 to get 0.
0-3\sqrt{125}
Anything times zero gives zero.
0-3\times 5\sqrt{5}
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}.
0-15\sqrt{5}
Multiply -3 and 5 to get -15.
-15\sqrt{5}
Anything plus zero gives itself.