Answer:
D produces a rational number
Step-by-step explanation:
Given: A rational number 0.53
To find : which number produces a rational number when added to 0.53
Solution : Now, we add each number one by one
Sum of any rational number with irrational number is always a irrational number
A. [tex]\pi[/tex] irrational number
[tex]\pi+0.53[/tex] =3.671393....= irrational number
B. [tex]\sqrt{5}[/tex] irrational number
[tex]\sqrt{5}+0.53[/tex]=2.766...... = irrational number
C. [tex]0.2645751311......[/tex] irrational number
[tex]0.2645751311......+0.53[/tex] =irrational number
D. [tex]5/7[/tex] rational number
[tex]5/7+0.53=0.71428571428571+0.53[/tex] =1.2442857142857142857142857...= rational number
as repeating numbers are also a rational number
Therefore, A,B,C are irrational number
and D is a rational number
