The value of an infinite square is infinity.
When we talk about "squaring" something, we're mathematically raising it to the power of 2 (multiplying it by itself). With infinity, this concept can be a bit tricky because infinity isn't a regular number we can perform arithmetic on in the same way. However, conceptually:
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Infinity represents a quantity without bound, something that goes on forever.
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When you multiply something infinitely large by itself, you get something that is still infinitely large. It might be tempting to think that infinity squared is "larger" than just infinity, and in a way it is, but within the realm of infinity, it remains unbound and limitless. Therefore, ∞ * ∞ = ∞
Therefore, while the concept of infinity squared might seem different than infinity, the value remains within the domain of infinity. Squaring infinity doesn't lead to a quantifiable, finite answer, but rather another form of infinity.