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Add. Write your answer in simplest form.\newline−23+93-2\sqrt{3} + 9\sqrt{3}

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Q. Add. Write your answer in simplest form.\newline−23+93-2\sqrt{3} + 9\sqrt{3}
  1. Combine like terms: Combine the like terms −23-2 \sqrt{3} and 939 \sqrt{3}.\newlineSince both terms have the same radical part, 3\sqrt{3}, we can add the coefficients directly.\newline−23+93=(−2+9)3-2 \sqrt{3} + 9 \sqrt{3} = (-2 + 9) \sqrt{3}
  2. Simplify expression: Simplify the expression (−2+9)3(-2 + 9) \sqrt{3}. Perform the addition inside the parentheses. (−2+9)3=73(-2 + 9) \sqrt{3} = 7 \sqrt{3} This is the simplest form since 77 and 33 are not multiples of any common square number.

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