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

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Full solution

Q. Add. Write your answer in simplest form.\newline−2+82-\sqrt{2} + 8\sqrt{2}
  1. Identify Like Terms: Identify the like terms in the expression. −2+82-\sqrt{2} + 8\sqrt{2} combines the coefficients of the square root of 22.
  2. Combine Coefficients: Combine the coefficients of 2\sqrt{2}. (−1+8)×2=7×2\ (-1 + 8) \times \sqrt{2} = 7 \times \sqrt{2}
  3. Write Final Answer: Write the final answer in simplest form.\newlineThe simplest form of the expression is 727\sqrt{2}.

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