We are asked to identify which of the following has a repeating decimal form:
√ 15
11/25
3/20
2/6
To answer the question, let us analyze each of the choices.
First, √ 15 is an irrational number. It means that its decimal form is a non-terminating, non-repeating decimal. Upon checking, we find the value of √ 15 to be 3.87298334... Therefore, it is NOT the answer.
Next, we have 11/25. By dividing the numerator by the denominator, we get its decimal form. 11/25 = 0.44, which is a terminating decimal. Again, it is NOT the answer.
Next is 3/20. Using the same process of dividing the numerator by the denominator, we get 3/20 = 0.15. Again, it is a terminating decimal and is NOT the answer.
Finally, we do the same for 2/6 and it should give us 2/6 = 0.33333...
Therefore the answer is 2/6.