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Add. Write your answer in simplest form.\newline5+35-\sqrt{5} + 3\sqrt{5}

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Q. Add. Write your answer in simplest form.\newline5+35-\sqrt{5} + 3\sqrt{5}
  1. Combine like terms: Combine the like terms 5-\sqrt{5} and 353\sqrt{5}. Since both terms have the same radical part, 5\sqrt{5}, we can add the coefficients directly. 5+35=(1+3)5-\sqrt{5} + 3\sqrt{5} = (-1 + 3)\sqrt{5}
  2. Simplify expression: Simplify the expression (1+3)5(-1 + 3)\sqrt{5}. Perform the addition inside the parentheses. (1+3)5=25(-1 + 3)\sqrt{5} = 2\sqrt{5}
  3. Check for simplification: Check for any possible simplification of the radical.\newlineSince 55 is a prime number, it cannot be simplified further.\newlineTherefore, the simplest form of the expression is 252\sqrt{5}.

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