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Add. Write your answer in simplest form.\newline−25+105-2\sqrt{5} + 10\sqrt{5}

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Full solution

Q. Add. Write your answer in simplest form.\newline−25+105-2\sqrt{5} + 10\sqrt{5}
  1. Combine like terms: Combine the like terms −25-2\sqrt{5} and 10510\sqrt{5}.\newlineIdentify the like terms which are both terms with 5\sqrt{5}.\newline−25+105=(−2+10)5-2\sqrt{5} + 10\sqrt{5} = (-2 + 10)\sqrt{5}
  2. Simplify expression: Simplify the expression (−2+10)5(-2 + 10)\sqrt{5}.\newlineCalculate the sum inside the parentheses.\newline(−2+10)5=85(-2 + 10)\sqrt{5} = 8\sqrt{5}
  3. Write final answer: Write the final answer in simplest form.\newlineThe expression 858\sqrt{5} is already in its simplest form.

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