Question

please solve this problem ​

Answer 1

Answer:

Step-by-step explanation:

Let a = 5 m + r, r=0,1,2,3,4

r=0

a² = (5m)²

a² = 5 ( 5 m² )

a² = 5 q ( where q = 5m²

r=1

a² = 5m + 1 ²

a² = 25m² + 10m + 1

a² = 5 ( 5m² + 2m ) +  1

a² = 5q + 1 where q = 5m² + 2m

r = 2

a² = 5m + 2 ²

a² = 5 ( 5m² + 4m ) + 4

a² = 5q + 4 where q =5m² + 4m

r = 3

a² = 5 m + 3 ²

a² = 5 q + 4 where q = 5m² + 6 + 1

r-4

a² = 5m + 4 ²

a² = 5 q  + 1 ( where q = 5 m² + 8 +3 )

Hence Proved