Question

find the least number which must be subtracted from 2509 to make it a perfect square

Answer 1

Heya !!

(49)² = 2401



(50)² = 2500


(51)² = 2601


Let X must be subtracted from 2509 to make it a perfect square.


Therefore,



2509 - X = 2500



-X = 2500-2509


-X = -9


X = 9



Hence,



9 must be subtracted from 2509 to make it a perfect square.