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Subtract. Write your answer in simplest form.\newline5767-5\sqrt{7} - 6\sqrt{7}

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Q. Subtract. Write your answer in simplest form.\newline5767-5\sqrt{7} - 6\sqrt{7}
  1. Identify like terms: Identify like terms.\newlineBoth 57-5\sqrt{7} and 67-6\sqrt{7} have the same radical part, 7\sqrt{7}, which means they are like terms and can be combined by adding or subtracting their coefficients.
  2. Subtract coefficients: Subtract the coefficients.\newlineTo subtract 67-6\sqrt{7} from 57-5\sqrt{7}, subtract the coefficients 5-5 and 6-6.\newline5(6)=5+6=1-5 - (-6) = -5 + 6 = 1
  3. Combine with radical part: Combine the result with the radical part.\newlineAfter subtracting the coefficients, combine the result with the radical part to get the final simplified form.\newline1×7=71 \times \sqrt{7} = \sqrt{7}
  4. Write final answer: Write the final answer.\newlineThe expression 5767-5\sqrt{7} - 6\sqrt{7} simplifies to 7\sqrt{7}.

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