Find the midpoint (6,-7) and (4,1)

The required number which is a rational number that is between 5.2 and 5.5 is 5.4.

The required number which is a irrational number that is between 5.2 and 5.5 is 5.3851648071......                        

Step-by-step explanation:

Rational numbers is defined as numbers which is written in form where p and q are integers and q is non-zero.

Irrational numbers is defined as numbers which is not written in form where p and q are integers and q is non-zero.  

Part A : Find a rational number that is between 5.2 and 5.5.  

Let the number between  5.2 and 5.5 is 5.4.

Now we write in form of p/q.

As 5.4 is written in p/q form which means it is rational number.

So, The required number which is a rational number that is between 5.2 and 5.5 is 5.4.

Part B : Find an irrational number that is between 5.2 and 5.5.

Let the number between  5.2 and 5.5 is 5.3851648071.....

5.3851648071..... is not written in p/q form which means it is an irrational number.

So, The required number which is a irrational number that is between 5.2 and 5.5 is 5.3851648071......