Question

Find the least no. that must be subtracted from each of the following no. to get a perfect square. also find the square root of the perfect square so obtained.


252

Answer 1

            1     5
        ==========
 1     |    2   52 
       |    1  
       | ====
25    |    1  52
       |    1  25
            ====
                27
            =====

Twenty seven must be subtracted from 252 to make it a perfect square and square root is  15