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Add. Write your answer in simplest form.\newline102+4210\sqrt{2} + 4\sqrt{2}

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Q. Add. Write your answer in simplest form.\newline102+4210\sqrt{2} + 4\sqrt{2}
  1. Identify Like Terms: Identify the like terms in the expression. 10210\sqrt{2} and 424\sqrt{2} are like terms because they both have the same radical part, 2\sqrt{2}.
  2. Combine Coefficients: Combine the coefficients of the like terms.\newline102+42=(10+4)210\sqrt{2} + 4\sqrt{2} = (10 + 4)\sqrt{2}
  3. Perform Addition: Perform the addition of the coefficients.\newline(10+4)2=142(10 + 4)\sqrt{2} = 14\sqrt{2}
  4. Write Final Answer: Write the final answer in simplest form.\newlineThe expression is already in simplest form, so the final answer is 14214\sqrt{2}.

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