Question

Which number produces a rational number when added to 0.53?

A. pie
  B.

√5  
C. 0.2645751311…   
D. 5/7

Answer 1

the last one D because it is rational

Answer 2

D produces a rational number

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.
`\pi` irrational number

`\pi+0.53` =3.671393....= irrational number

B.
`√(5)` irrational number

`√(5)+0.53`=2.766...... = irrational number

C.
`0.2645751311......` irrational number

`0.2645751311......+0.53` =irrational number

D.
`5/7` rational number

`5/7+0.53=0.71428571428571+0.53` =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