1 and 0.
12 = 1
02 = 0
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The perfect squares from 1 to 10000 are the numbers that result from multiplying an integer by itself. The perfect squares in this range are 1^2, 2^2, 3^2, ..., 100^2. So, the perfect squares in this range are 1, 4, 9, 16, ..., 10000.
Since pi is irrational, its product with any other number is also irrational. The only exception is a multiple of its own reciprocal.
One example would be a Galois Field size 4 (ie GF(4)). Here, the elements are {0,1,2,3} and every element is its own additive inverse.
It is a rational number because it can be expressed as a fraction