Answer:
B. The square root of 34 is an irrational number. 
Step-by-step explanation:
The square root of 34 is a rational number if 34 is a perfect square.
Since 34 is not a perfect square, it is an irrational number. 
 
        
             
        
        
        
To split this trinomial into two binomials, let's try and find two numbers which add to 6 and multiply to 8. To do this, we can list all the factors of 8 and then choose which factors also add to 6.
Factors of 8: (1, 8), (2, 4)
1 + 8 = 9, meaning that 1 and 8 are not the factors we are looking for. However, 2 and 4 do add to 6. By combining these numbers which an x (so that we can produce the  term at the front of the trinomial), we find the binomials:
 term at the front of the trinomial), we find the binomials:
 and
 and 
The answer is x + 2 and x + 4.