Answer:
 Option 2 - Irrational               
Step-by-step explanation:
To find :  The sum or product of a non-zero rational number and an irrational number is always  
Solution : 
By the statement, 
→ "The sum of a rational number and an irrational number is irrational."
Example : Let a rational number 3 and irrational number  
 
Sum of rational and irrational number

5.236067977.... is a irrational number as if you add a non-repeating and non-terminating decimal to a repeating decimal, you will have a repeating decimal.
→ "The product of a non-zero rational number and an irrational number is irrational." 
Example : Let a rational number 3 and irrational number  
 
Sum of rational and irrational number

6.708203931...... is a irrational number as If you multiply any irrational number by the rational number it gives you irrational except zero which is rational.
Therefore, Option 2 is correct.
The sum or product of a non-zero rational number and an irrational number is always  irrational.