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Add. Write your answer in simplest form.\newline−92+22-9\sqrt{2} + 2\sqrt{2}

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Full solution

Q. Add. Write your answer in simplest form.\newline−92+22-9\sqrt{2} + 2\sqrt{2}
  1. Combine like terms: Combine the like terms −92-9 \sqrt{2} and 222 \sqrt{2}.\newlineIdentify the like terms and combine their coefficients.\newline−92+22=(−9+2)2-9 \sqrt{2} + 2 \sqrt{2} = (-9 + 2) \sqrt{2}
  2. Simplify expression: Simplify the expression (−9+2)2(-9 + 2) \sqrt{2}. Perform the addition within the parentheses. (−9+2)2=−72(-9 + 2) \sqrt{2} = -7 \sqrt{2}
  3. Write final answer: Write the final answer in simplest form.\newlineThe expression is already in simplest form, so the final answer is −72-7 \sqrt{2}.

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