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what could be possible 'one's' digits of the square roots of following number 1908\newline 1908

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Q. what could be possible 'one's' digits of the square roots of following number 1908\newline 1908
  1. Understand the problem: Understand the problem.\newlineWe need to find the possible 'one's' digits of the square roots of the number 19081908. This means we are looking for the last digit of the square root of 19081908.
  2. Consider possible digits: Consider the possible 'one's' digits of perfect squares.\newlineThe 'one's' digit of a square root is determined by the 'one's' digit of the square itself. The possible 'one's' digits for any perfect square are 0,1,4,5,60, 1, 4, 5, 6, or 99 because when you square the digits 090-9, these are the only digits that appear in the 'one's' place.
  3. Look at given number: Look at the 'one's' digit of the given number.\newlineThe 'one's' digit of 19081908 is 88. We need to determine which squares end in 88.
  4. Find squares with digit: Find the squares that end with the digit 88. No perfect square ends with the digit 88. Therefore, there is a math error in the question itself, as it assumes that a square root of a number ending in 88 would have a 'one's' digit that we could determine. Since no perfect square ends in 88, the question is flawed.

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