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Subtract. Write your answer in simplest form. \newline97779\sqrt{7} - 7\sqrt{7}

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Q. Subtract. Write your answer in simplest form. \newline97779\sqrt{7} - 7\sqrt{7}
  1. Identify like terms: Identify like terms\newlineWe are given the expression 97779\sqrt{7} - 7\sqrt{7}. Both terms contain the radical 7\sqrt{7}, which means they are like terms and can be combined.
  2. Subtract coefficients: Subtract the coefficients\newlineSubtract the coefficients of the like terms while keeping the radical part the same.\newline9777=(97)79\sqrt{7} - 7\sqrt{7} = (9 - 7)\sqrt{7}
  3. Perform subtraction: Perform the subtraction\newlineCalculate the difference of the coefficients.\newline(97)7=27(9 - 7)\sqrt{7} = 2\sqrt{7}
  4. Write simplest form: Write the answer in simplest form\newlineThe expression 272\sqrt{7} is already in its simplest form, as 77 is a prime number and cannot be simplified further.

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