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Add. Write your answer in simplest form.\newline85+45-8\sqrt{5} + 4\sqrt{5}

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Q. Add. Write your answer in simplest form.\newline85+45-8\sqrt{5} + 4\sqrt{5}
  1. Combine like terms: Combine the like terms 85-8 \sqrt{5} and 454 \sqrt{5}. Identify the like terms which are the square root terms with the same radicand (number under the square root), in this case, 5\sqrt{5}. 85+45=(8+4)5-8 \sqrt{5} + 4 \sqrt{5} = (-8 + 4) \sqrt{5}
  2. Identify like terms: Simplify the expression (8+4)5(-8 + 4) \sqrt{5}. Perform the addition within the parentheses. (8+4)5=45(-8 + 4) \sqrt{5} = -4 \sqrt{5}

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