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Add. Write your answer in simplest form.\newline−62+2-6\sqrt{2} + \sqrt{2}

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Full solution

Q. Add. Write your answer in simplest form.\newline−62+2-6\sqrt{2} + \sqrt{2}
  1. Identify Like Terms: Identify the like terms in the expression. \newline−62+2-6\sqrt{2} + \sqrt{2} can be combined because they both have the radical 2\sqrt{2} as a common factor.
  2. Combine Coefficients: Combine the coefficients of the like terms.\newline−62+2=(−6+1)2-6\sqrt{2} + \sqrt{2} = (-6 + 1)\sqrt{2}
  3. Simplify Expression: Simplify the expression by performing the addition. (−6+1)2=−52(-6 + 1)\sqrt{2} = -5\sqrt{2}

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