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Add. Write your answer in simplest form.\newline−92+62-9\sqrt{2} + 6\sqrt{2}

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Full solution

Q. Add. Write your answer in simplest form.\newline−92+62-9\sqrt{2} + 6\sqrt{2}
  1. Combine like terms: Combine the like terms −92-9 \sqrt{2} and 626 \sqrt{2}.\newlineIdentify the like terms and combine their coefficients.\newline−92+62=(−9+6)2-9 \sqrt{2} + 6 \sqrt{2} = (-9 + 6) \sqrt{2}
  2. Simplify expression: Simplify the expression (−9+6)2(-9 + 6) \sqrt{2}. Perform the addition within the parentheses. (−9+6)2=−32(-9 + 6) \sqrt{2} = -3 \sqrt{2}
  3. Write final answer: Write the final answer in simplest form.\newlineThe expression −32-3 \sqrt{2} is already in its simplest form.

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