There are no perfect squares that add, multiply or divide to give 55.
However, 82 - 32 = 55
also 282 - 272 = 55.
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12 + 22 + 32 + 42 + 52 = 1 + 4 + 9 + 16 + 25 = 55
no- 55 is what is called deficient, Its proper divisors sum 1 + 5 + 11 = 17 which is less that 55.
55 52+52 = 50
55*55 = 3025 or (-55)*(-55) = 3025 which makes 3025 the square of the integers ±55, and thus a perfect square.
1 x 55 = 55 5 x 11 = 55