Question

Use eculids lemma to show that the square of any positive integers is either of the from 3m or 3m +1 for some integer m

Answer 1

Answer:

it is very simple

Step-by-step explanation:

acc. to Euclid's division lemma any positive integer can be written in the form

a= bq+ r,. where r= 0,1,2

let the ve+ integer b =3

then

a=3q+ r

S.B.S

a²=(3q+r)²

put r=0

=>. a²=9q²

a² =3q(3q)

a² = 3q. ( where (3q) =q )

similarly

put r= 1

and u will get the anawer

Answer 2

Answer:

It is the correct answer.

Step-by-step explanation:

Hope this attachment helps you.