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 = 
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.