From the given options, the rational numbers is:
17.156 = 17,156/100
Which is the one in option C.
A rational number is a number that can be written as the quotient of two integer numbers.
When written in decimal form, a rational number has a finite number of digits after the decimal point. Now, for the given options we have:
A: √15
B: 2.6457513110...
C: 17.156
D: √3/85
Now, the square root of a number that is no square, is always an irrational number, so we can discard these two, and also we can see that the number in option B has infinite digits after the decimal point, so we also discard that one.
Now, if we look at the remaining option, which is:
17.156
We can multiply it and divide it by 100 to get:
(100/100)*17.156 = 17156/100
So the number can be written as the quotient of two integers, which means that it is a rational number.
If you want to learn more about rational numbers:
https://brainly.com/question/12088221
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