Try this beautiful interesting problem based on Number Theory from PRMO 2016 Problem 2.
The five digit number 
is a perfect square. Find the value of 
.
Properties of Perfect Squares
Divisibility Rules of different numbers
Finding the square root of a number
Challenge and Thrill of Pre College Mathematics
PRMO 2016
50
An odd perfect square is of the form 
Hence 
Hence 
Therefore the possible values of b are 
So possible numbers are 
Now check for the possible values of 
and calculate the square root to check if it is a perfect square
The only valid solution is 
Hence calculate the required expression.
Try this beautiful interesting problem based on Number Theory from PRMO 2016 Problem 2.
The five digit number is a perfect square. Find the value of .
Properties of Perfect Squares
Divisibility Rules of different numbers
Finding the square root of a number
Challenge and Thrill of Pre College Mathematics
PRMO 2016
50
An odd perfect square is of the form
Hence
Hence
Therefore the possible values of b are
So possible numbers are
Now check for the possible values of and calculate the square root to check if it is a perfect square
The only valid solution is
Hence calculate the required expression.
