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Add. Write your answer in simplest form.\newline83+33-8\sqrt{3} + 3\sqrt{3}

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Q. Add. Write your answer in simplest form.\newline83+33-8\sqrt{3} + 3\sqrt{3}
  1. Combine like terms: Combine the like terms 83-8\sqrt{3} and 333\sqrt{3}.\newlineSince both terms have the same radical part, 3\sqrt{3}, we can add the coefficients directly.\newline83+33=(8+3)3-8\sqrt{3} + 3\sqrt{3} = (-8 + 3)\sqrt{3}
  2. Simplify expression: Simplify the expression by adding the coefficients.\newline(8+3)3=53(-8 + 3)\sqrt{3} = -5\sqrt{3}\newlineThis is the simplest form since the radical cannot be simplified further and the coefficient is an integer.

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