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Add. Write your answer in simplest form.\newline105+5-10\sqrt{5} + \sqrt{5}

Full solution

Q. Add. Write your answer in simplest form.\newline105+5-10\sqrt{5} + \sqrt{5}
  1. Combine like terms: Combine the like terms 105-10 \sqrt{5} and 5\sqrt{5}. Identify the like terms and combine their coefficients. 105+5=(10+1)5-10 \sqrt{5} + \sqrt{5} = (-10 + 1) \sqrt{5}
  2. Identify and combine coefficients: Simplify the expression (10+1)5(-10 + 1) \sqrt{5}. Perform the addition within the parentheses. (10+1)5=95(-10 + 1) \sqrt{5} = -9 \sqrt{5}

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