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Add. Write your answer in simplest form.\newline42+102-4\sqrt{2} + 10\sqrt{2}

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Q. Add. Write your answer in simplest form.\newline42+102-4\sqrt{2} + 10\sqrt{2}
  1. Combine Like Terms: Combine the like terms 42-4 \sqrt{2} and 10210 \sqrt{2}. Since both terms have the same radical part, 2\sqrt{2}, we can add the coefficients directly. 42+102=(4+10)2-4 \sqrt{2} + 10 \sqrt{2} = (-4 + 10) \sqrt{2}
  2. Simplify Expression: Simplify the expression (4+10)2(-4 + 10) \sqrt{2}.\newlineCalculate the sum of the coefficients: 4+10=6-4 + 10 = 6.\newlineSo, the expression becomes 626 \sqrt{2}.
  3. Check for Further Simplification: Check for any further simplification.\newlineThe term 626 \sqrt{2} is already in its simplest form since 66 is an integer and 2\sqrt{2} cannot be simplified further.

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