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Which number has an irrational square root?\newlineChoices:\newline(A) 144144\newline(B) 121121\newline(C) 100100\newline(D) 8181\newline(E) 22

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Q. Which number has an irrational square root?\newlineChoices:\newline(A) 144144\newline(B) 121121\newline(C) 100100\newline(D) 8181\newline(E) 22
  1. Identify square roots: Identify the square roots of the given numbers to determine which one is irrational.\newlineSquare root of 144=12144 = 12,\newlineSquare root of 121=11121 = 11,\newlineSquare root of 100=10100 = 10,\newlineSquare root of 81=981 = 9,\newlineSquare root of 2=approximately 1.414213562372 = \text{approximately } 1.41421356237 (irrational number).
  2. Check rationality: Check each result to confirm if it's rational or irrational.\newline1212, 1111, 1010, and 99 are all rational numbers because they can be expressed as a ratio of two integers.\newlineApproximately 1.414213562371.41421356237 cannot be expressed as a ratio of two integers, making it irrational.

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