Ask a New Question
Menu

Which of the following is irrational?(1 point) Responses −7837 negative 7 Start Fraction 8 over 37 End Fraction 3.6363636363636363... 52.781654292 52.781654292 3√4

1 answer

To determine which of the given options is irrational, let's analyze each of them:

  1. −7837: This is a whole number and therefore a rational number.

  2. −7: This is also a whole number and hence a rational number.

  3. Start Fraction 8 over 37 End Fraction (8/37): This is a fraction, and since both the numerator and denominator are integers, it is a rational number.

  4. 3.6363636363636363...: This is a repeating decimal (with "63" repeating), which is a rational number.

  5. 52.781654292: This is a decimal number that appears to be non-repeating and non-terminating, but we can't definitively categorize it as irrational without more context. However, it is likely rational if it has a precise representation.

  6. 3√4 (the cube root of 4): This is an example of an irrational number because it cannot be expressed as a fraction of two integers.

From the options given, 3√4 is the only irrational number.