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problem 80 · 5 lines
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<p>It is well known that if the square root of a natural number is not an integer, then it is irrational. The decimal expansion of such square roots is infinite without any repeating pattern at all.</p>
<p>The square root of two is $1.41421356237309504880\cdots$, and the digital sum of the first one hundred decimal digits is $475$.</p>
<p>For the first one hundred natural numbers, find the total of the digital sums of the first one hundred decimal digits for all the irrational square roots.</p>
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