Question

how many non square numbers lie between the square of 34 and 35

Answer 1

Square of 34 = 1156
Square of 35 = 1225

= 1225- 1156-1
= 1225- 1157
= 68

                    OR 

34 and 35
n= 34

   n * 2 
= 34*2
= 68

The second method is used when we have to find the number of non-square numbers between two consecutive numbers.

Number of non square number between 34 and 35 = 68

Answer 2

there are 2n numbers between (n)^2 and (n+1)^2

here n=34
so 2×34=68