Question

Which number is a rational number?
A. sqrt{15
B. 2.6457513110
C. 17.156
D. sqrt[3]{85}

Answer 1

From the given options, the rational numbers is:

17.156 = 17,156/100

Which is the one in option C.

Which of the given numbers is a rational number?

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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