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Add. Write your answer in simplest form.\newline−82+52-8\sqrt{2} + 5\sqrt{2}

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Q. Add. Write your answer in simplest form.\newline−82+52-8\sqrt{2} + 5\sqrt{2}
  1. Identify Like Terms: Identify the like terms in the expression.\newline−82+52-8\sqrt{2} + 5\sqrt{2} combines the coefficients of the like radical terms.
  2. Combine Coefficients: Combine the coefficients of the like terms.\newline−8+5=−3-8 + 5 = -3\newlineSo, −82+52=(−8+5)2-8\sqrt{2} + 5\sqrt{2} = (-8 + 5)\sqrt{2}
  3. Simplify Expression: Simplify the expression.\newline(−8+5)2=−32(-8 + 5)\sqrt{2} = -3\sqrt{2}\newlineThis is the simplest form of the expression.

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