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Add. Write your answer in simplest form.\newline−95+85-9\sqrt{5} + 8\sqrt{5}

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Full solution

Q. Add. Write your answer in simplest form.\newline−95+85-9\sqrt{5} + 8\sqrt{5}
  1. Combine like terms: Combine the like terms −95-9\sqrt{5} and 858\sqrt{5}.\newlineSince both terms have the same radical part, 5\sqrt{5}, we can add the coefficients directly.\newline−95+85=(−9+8)5-9\sqrt{5} + 8\sqrt{5} = (-9 + 8)\sqrt{5}
  2. Simplify expression: Simplify the expression (−9+8)5(-9 + 8)\sqrt{5}. Perform the addition within the parentheses. (−9+8)5=(−1)5(-9 + 8)\sqrt{5} = (-1)\sqrt{5}
  3. Write final answer: Write the final answer in simplest form.\newlineSince (−1)5(-1)\sqrt{5} is already in its simplest form, the final answer is:\newline−15-1\sqrt{5} or simply −5-\sqrt{5}

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