Question

Which expression represents rational numbers? Select all that apply

Answer 1

1). In this option the given number is √100×√100 =10×10=100 Which is a rational number. 2) 13.5+√81 = 13.5 + 9 = Its a rational number 3) √9+√729 =3+ 27 =30 It is a whole number which is the form of rational number. 4) √64+√353 = 8 + 18.788924( an irrational Number) =26.79 So addition of any number to an irrational number is always irrational number. 5) = 1/3 + 14.6969( an irrational number) When we add any number to an irrational number it's sum is always irrational number. 6) Again addition of two rational number giving a fraction.So it is a rational number So options 1,2,3,6 are rational numbers.

Answer 2

So options 1,2,3,6 are rational numbers.

Explanation:

1). In this option the given number is √100×√100 =10×10=100

Which is a rational number.

2) 13.5+√81 = 13.5 + 9 =
`(27)/(2)+9`

Its a rational number

3) √9+√729 =3+ 27 =30

It is a whole number which is the form of rational number.

4) √64+√353 = 8 + 18.788924( an irrational Number) =26.79

So addition of any number to an irrational number is always irrational number.

5)
`(1)/(3) +√(216)` = 1/3 + 14.6969( an irrational number)

When we add any number to an irrational number it's sum is always irrational number.

6)
`(3)/(5) +2.5`

Again addition of two rational number giving a fraction.So it is a rational number

So options 1,2,3,6 are rational numbers.