use E.D.L. to show that sq. of any +ve is either of form 3m or 3m+1 fir some integer
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a=bq +r
Then b=3
Let a is positive integer
a=( 3q) ki sq.
a=9q sq.
Then 3common
3(9q)
3m (m=3q sq.)
3q+1
(3q+1)ki sq.
Then...
9q sq +1 +6q
3common (9q+6q) +1
Then m =3q ki sq. +2q
Then it is 3m +1
Then b=3
Let a is positive integer
a=( 3q) ki sq.
a=9q sq.
Then 3common
3(9q)
3m (m=3q sq.)
3q+1
(3q+1)ki sq.
Then...
9q sq +1 +6q
3common (9q+6q) +1
Then m =3q ki sq. +2q
Then it is 3m +1
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