Which of the following is irrational?(1 point)
Responses
3.6363636363636363...
3.6363636363636363...
52.781654292
52.781654292
−7837
negative 7 Start Fraction 8 over 37 End Fraction
3√4
3√4 is irrational
To determine which of the given options is irrational, we need to identify the option that cannot be expressed as a fraction or a terminating decimal.
The options are:
1. 3.6363636363636363...
2. 52.781654292
3. −7837
4. 3√4
Let's evaluate each option:
1. 3.6363636363636363...
This is a repeating decimal, which means it can be expressed as a fraction. Therefore, it is not irrational.
2. 52.781654292
This is a decimal number and does not repeat. However, it terminates, so it can be expressed as a fraction as well. Thus, it is also not irrational.
3. −7837
This is a whole number and can be expressed as a fraction with a denominator of 1. Hence, it is not irrational.
4. 3√4
The cube root of 4 cannot be expressed as a fraction or a terminating decimal since it is an irrational number. Therefore, option 4, 3√4, is the correct answer.
So, the correct option is "4. 3√4" because it is the only option that represents an irrational number.