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Add. Write your answer in simplest form.\newline−53+33-5\sqrt{3} + 3\sqrt{3}

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Q. Add. Write your answer in simplest form.\newline−53+33-5\sqrt{3} + 3\sqrt{3}
  1. Combine like terms: Combine the like terms −53-5 \sqrt{3} and 333 \sqrt{3}.\newlineSince both terms have the same radical part, 3\sqrt{3}, we can add the coefficients directly.\newline−53+33=(−5+3)3-5 \sqrt{3} + 3 \sqrt{3} = (-5 + 3) \sqrt{3}
  2. Simplify the expression: Simplify the expression (−5+3)3(-5 + 3) \sqrt{3}. Perform the addition within the parentheses. (−5+3)3=−23(-5 + 3) \sqrt{3} = -2 \sqrt{3}

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