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Which number is closest to 82\sqrt{82}?\newlineChoices:\newline(A) 9.09.0\newline(B) 10.510.5\newline(C) 9.89.8\newline(D) 9.79.7

Full solution

Q. Which number is closest to 82\sqrt{82}?\newlineChoices:\newline(A) 9.09.0\newline(B) 10.510.5\newline(C) 9.89.8\newline(D) 9.79.7
  1. Identify Perfect Squares: Step 11: Identify the square roots of perfect squares around 8282 to estimate the square root of 8282.
  2. Compare with Neighbors: Step 22: Compare the square root of 8282 with the square roots of 8181 and 100100 to find a closer estimate.
  3. Check Given Choices: Step 33: Check the choices given to find which is closest to the estimated square root of 8282.

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