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Add. Write your answer in simplest form. \newline7+7\sqrt{7} + \sqrt{7}

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Q. Add. Write your answer in simplest form. \newline7+7\sqrt{7} + \sqrt{7}
  1. Identify Terms: Identify the terms to be added.\newlineWe have two identical square root terms: 7\sqrt{7} and 7\sqrt{7}.
  2. Add Like Terms: Add the like terms.\newlineSince both terms are the same, we can add them together just like we would with any like terms.\newline7+7=2×7\sqrt{7} + \sqrt{7} = 2 \times \sqrt{7}
  3. Check Simplification: Check for simplification.\newlineThe term 7\sqrt{7} cannot be simplified further because 77 is a prime number and does not have a square factor other than 11.
  4. Write Final Answer: Write the final answer.\newlineThe sum of 7\sqrt{7} and 7\sqrt{7} is 2×72 \times \sqrt{7}, which is already in its simplest form.

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