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Add. Write your answer in simplest form.\newline−32+72-3\sqrt{2} + 7\sqrt{2}

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Full solution

Q. Add. Write your answer in simplest form.\newline−32+72-3\sqrt{2} + 7\sqrt{2}
  1. Combine like terms: Combine the like terms −32+72-3 \sqrt{2} + 7 \sqrt{2}.\newlineIdentify the like terms which are both terms with 2\sqrt{2}.\newline−32+72=(−3+7)2-3 \sqrt{2} + 7 \sqrt{2} = (-3 + 7) \sqrt{2}
  2. Identify like terms: Simplify the expression (−3+7)2(-3 + 7) \sqrt{2}. Perform the addition inside the parentheses. (−3+7)2=42(-3 + 7) \sqrt{2} = 4 \sqrt{2}

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