Question

Which of the following sets contains only rational numbers?

A. 776, pi, 25.209,and the square root of 9
B. 726,7/34,20.209, and the square root of 9
C. square root of 3,7/39,20.3, and the square root of 9
D. 726,7\34,20.209, and the square root of 5

Answer 1

Rational numbers are numbers which can be written as a fraction (the formula is p/q). They don't include roots we can't solve in order to get a whole number and pi.

A. 776, pi, 25.209, √9 ---> NO (because of pi)
B. 726, 7/34, 20.209, √9 ---> YES
C. √3, 7/39, 20.3, √9 ---> NO (because of √3)
D. 726, 7/34, 20.209, √5 ---> NO (because of √5

Note that √9 = 3, so it IS a rational number.

Answer 2

Option (B) is correct

Explanation:

The rational number is in the form of
`(x)/(y)` , whereas x and y are the integers and q must not be equal to zero.

Rational number is also a terminating or if not terminating it should be

re-occurring.

Considering the option B

726 is a rational number

`(7)/(34)` is also a rational number as per definition

20.209 is also a rational number

`√(9)`= 3, is also a rational number

Hence, option (B) is correct.