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Add. Write your answer in simplest form.\newline−75+85-7\sqrt{5} + 8\sqrt{5}

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Full solution

Q. Add. Write your answer in simplest form.\newline−75+85-7\sqrt{5} + 8\sqrt{5}
  1. Combine like terms: Combine the like terms −75-7 \sqrt{5} and 858 \sqrt{5}.\newline−75+85=(−7+8)5-7 \sqrt{5} + 8 \sqrt{5} = (-7 + 8) \sqrt{5}
  2. Simplify expression: Simplify the expression (−7+8)5(-7 + 8) \sqrt{5}.(−7+8)5=15(-7 + 8) \sqrt{5} = 1 \sqrt{5}=5= \sqrt{5}

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