Which of the following is irrational?

Responses

3.6363636363636363...
3.6363636363636363... - no response given

52.781654292
52.781654292 - incorrect

3√4
the fraction with numerator square root of 3 and denominator 4 - not selected, this is the correct answer

−7837

1 answer

Among the options provided, the one that is irrational is:

3√4

This is because the cube root of 4 (√4) is not a perfect cube and does not result in a rational number.

The other numbers are either repeating decimals (which are rational), a decimal representation of a rational number, or an integer, which is also rational.

Thus, the correct identification of irrational numbers would confirm that 3√4 is indeed the only irrational number listed.