To determine which of the given options is irrational, let's evaluate each one:
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3√4 (or \(3 \sqrt{4}\)): This simplifies to \(3 \cdot 2 = 6\), which is a rational number.
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−7837 (or \(-7 \frac{8}{37}\)): This is a rational number since it is an integer.
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3.6363636363636363...: This is a repeating decimal (specifically, \(3.\overline{63}\)), which is also a rational number.
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52.781654292: This is a non-repeating, non-terminating decimal. However, it is often a result of a calculation that can be expressed as a fraction (if it is a finite decimal in its original form). Since it does not multiply out evenly to a fraction that is a simple form, it is worth mentioning that as of now, this could be ordinarily rational.
To identify the irrational number from the options, it also requires the number to not be expressible as a fraction of two integers.
In conclusion, none of the provided options appear to be irrational numbers given the typical understanding of rationality in the context of simple numbers and typical fractions.
If we were strictly adhering to common definitions, the result is that each number appears to be rational under standard definitions. If there are complex interpretations or ways to redefine the settings of number classifications, please adjust the inquiry for further clarification!