Question

Which of the following is irrational?(1 point)
Responses

52.781654292
52.781654292

3.6363636363636363...
3.6363636363636363...

−7837
negative 7 Start Fraction 8 over 37 End Fraction

3√4

Answer 1

To determine which of the given numbers is irrational, let's analyze each option:

1. **52.781654292** - This is a decimal that terminates and is therefore rational.

2. **3.6363636363636363...** - This is a repeating decimal (3.63 with the "63" repeating), which is also rational.

3. **−7837** - This is an integer and therefore rational.

4. **3√4** - This can be simplified. The cube root of 4 (3√4) is approximately 1.5874010519681994, which cannot be expressed as a fraction of two integers; thus, it is irrational.

Therefore, the irrational number among the options is **3√4**.