# Prove that the square of any positive integer is of the form 5m or,5m+1 or,5m+4 for some integer m.

1
by Pakkar

Log in to add a comment

by Pakkar

Log in to add a comment

5m=5 (2)=10

4 not equals to 10

5m+1=5 (2)+1=11

4 not equals to 11

5m+4=5 (2)+4=14

14 is also not equals to 4.

If we take 5 as "m" then the square of 5=25,which satisfies the condition 5m

hence proved.

only 5 is the number which can satisfies the condition 5m. There is no other number which can satisfies the conditions 5m,5m+1,5m+4.