Simple Problem 3

Number Theory Level 2

X X is the biggest perfect square number less then 1234567890 1234567890 . What is X X ?


The answer is 1234538496.

Josua Mustiko by Josua Mustiko , 23, Indonesia

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2 solutions

Seth Lovelace
Jul 23, 2014

The square root of 1234567890 is ~ 35136.418... Thus the largest square that is less than 1234567890 is (35136)^2, or more precisely, 1234538496.

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Yajat Shamji
Jul 9, 2020

1 234567890 = 35136.41826 4 ‾ \sqrt1234567890 = 35136.41826\overline{4}

3513 6 2 = 1234538496 35136^2 = \fbox{1234538496}

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