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Add. Write your answer in simplest form.\newline−45+105-4\sqrt{5} + 10\sqrt{5}

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Full solution

Q. Add. Write your answer in simplest form.\newline−45+105-4\sqrt{5} + 10\sqrt{5}
  1. Combine like terms: Combine the like terms −45-4\sqrt{5} and 10510\sqrt{5}. Identify the like terms which are both terms with 5\sqrt{5}. −45+105=(−4+10)5-4\sqrt{5} + 10\sqrt{5} = (-4 + 10)\sqrt{5}
  2. Simplify expression: Simplify the expression (−4+10)5(-4 + 10)\sqrt{5}.\newlineCalculate the sum of the coefficients −4-4 and 1010.\newline(−4+10)5=65(-4 + 10)\sqrt{5} = 6\sqrt{5}
  3. Write final answer: Write the final answer in simplest form.\newlineThe expression 656\sqrt{5} is already in its simplest form.

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