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Add. Write your answer in simplest form.\newline−92+72-9\sqrt{2} + 7\sqrt{2}

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Full solution

Q. Add. Write your answer in simplest form.\newline−92+72-9\sqrt{2} + 7\sqrt{2}
  1. Identify Like Terms: Identify the like terms in the expression.\newline−92-9\sqrt{2} and 727\sqrt{2} are like terms because they both contain the square root of 22.
  2. Combine Coefficients: Combine the coefficients of the like terms.\newline−92+72=(−9+7)2-9\sqrt{2} + 7\sqrt{2} = (-9 + 7)\sqrt{2}
  3. Perform Addition: Perform the addition of the coefficients.\newline(−9+7)2=−22(-9 + 7)\sqrt{2} = -2\sqrt{2}
  4. Write Final Answer: Write the final answer in simplest form.\newlineThe simplest form of the expression is −22-2\sqrt{2}.

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