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Add. Write your answer in simplest form.\newline−92+82-9\sqrt{2} + 8\sqrt{2}

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Full solution

Q. Add. Write your answer in simplest form.\newline−92+82-9\sqrt{2} + 8\sqrt{2}
  1. Combine like terms: Combine like terms −92+82-9 \sqrt{2} + 8 \sqrt{2}\newlineIdentify the like terms and combine their coefficients.\newline−92+82=(−9+8)2-9 \sqrt{2} + 8 \sqrt{2} = (-9 + 8) \sqrt{2}
  2. Simplify the expression: Simplify the expression (−9+8)2(-9 + 8) \sqrt{2} Perform the addition within the parentheses. (−9+8)2=(−1)2(-9 + 8) \sqrt{2} = (-1) \sqrt{2}
  3. Write final answer: Write the final answer in simplest form Since (−1)2(-1) \sqrt{2} is already in its simplest form, this is the final answer.

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