To determine which of the given numbers is irrational, let's look at each one:
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3√/4: This appears to be an incomplete notation, possibly intending to refer to \(\sqrt{3}/4\). Assuming this interpretation, \(\sqrt{3}\) is an irrational number, so \(\sqrt{3}/4\) is also irrational.
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52.781654292: This number is a decimal representation, and since it terminates and does not have an infinite repeating sequence, it is a rational number.
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3.6363636363636363...: This is a repeating decimal (3.63 with "63" repeating), which denotes a rational number.
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−7 8/37: This is a mixed number. It can be converted to an improper fraction: \(-7 + \frac{8}{37} = \frac{-259 + 8}{37} = \frac{-251}{37}\), which is a rational number.
Given the analysis, the only number that is irrational is:
\(\sqrt{3}/4\), assuming the understanding of “3√/4” refers to that.
If "3√/4" was meant to denote something else, please clarify, but based on standard notation, \(\sqrt{3}/4\) is irrational.