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Add. Write your answer in simplest form. \newline2+62\sqrt{2} + 6\sqrt{2}

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Full solution

Q. Add. Write your answer in simplest form. \newline2+62\sqrt{2} + 6\sqrt{2}
  1. Combine like terms: Combine the like terms 2\sqrt{2} and 626\sqrt{2}.\newlineSince both terms have the same radical part, we can add the coefficients directly.\newline2+62=(1+6)2\sqrt{2} + 6\sqrt{2} = (1 + 6) \sqrt{2}
  2. Simplify expression: Simplify the expression by adding the coefficients. \newline(1+6)2=72(1 + 6) \sqrt{2} = 7 \sqrt{2}

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