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Numbers ending in 9 have squares ending in 1.
4² = 16, so units digit is 6.
3² = 9.
175 is not the square of any natural number.
15 × 15 = 225.
Numbers ending in 4 have squares ending in 6.
Number of trailing zeros doubles on squaring.
Perfect squares have an even number of trailing zeros.
Odd × Odd = Odd.
Even × Even = Even.
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