Part a: find a rational number that is between 5.2 and 5.5. explain why it is rational. (2 points) part b: find an irrational number that is between 5.2 and 5.5. explain why it is irrational. include the decimal approximation of the irrational number to the nearest hundredth. (3 points)

The answer 
a rational number that is between 5.2 and 5.5
first, a rational number  is a decimal number that the number after the dot can be ended. for example
1/2 = 0.5 is rational, 2 is rational because 2 = 2. 0, 

so a rational number between 5.2 and 5.5 can be 525 /100
because this rational number can be written as 525 /100 = 5.25
and 5.2 less than 5.25 less than 5.5

an irrational number  is a decimal number that the number after the dot cannot be ended. for example  1/3 = 0.3333333333

so so an irrational number between 5.2 and 5.5 can be √30
because √30 can be written as √30 = 5,477225575051661134569

and 5.2 less than 5.47 less than 5.5