Question

Which expression represents rational numbers? Select all that apply

Answer 1

Answer:

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

Step-by-step 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 = $\frac{27}{2}+9$

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) $\frac{1}{3} +\sqrt{216}$ = 1/3 + 14.6969( an irrational number)

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

6) $\frac{3}{5} +2.5$

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

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

Answer 2

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.