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Add. Write your answer in simplest form.\newline−63+43-6\sqrt{3} + 4\sqrt{3}

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Full solution

Q. Add. Write your answer in simplest form.\newline−63+43-6\sqrt{3} + 4\sqrt{3}
  1. Combine like terms: Combine the like terms −63-6 \sqrt{3} and 434 \sqrt{3}. To combine like terms, add the coefficients of the like terms together while keeping the radical part the same. −63+43=(−6+4)3-6 \sqrt{3} + 4 \sqrt{3} = (-6 + 4) \sqrt{3}
  2. Simplify expression: Simplify the expression (−6+4)3(-6 + 4) \sqrt{3}. Perform the addition within the parentheses. (−6+4)3=(−2)3(-6 + 4) \sqrt{3} = (-2) \sqrt{3}
  3. Write final answer: Write the final answer in simplest form.\newlineSince there are no further simplifications, the final answer is −23-2 \sqrt{3}.

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