Home
Class 10
MATHS
Use Euclid's division lemma to show that...

Use Euclid's division lemma to show that the square of any positive integer is either of the form ` 3m ` or ` 3m+1 `for some integer `m`.

Promotional Banner

Similar Questions

Explore conceptually related problems

Using Eulid's divison lemma, show that the square of any positive interger is either of the form 3m or ( 3m+1) for some integer m. |

Show that the square of any positive integer is either of the form "4m" or "4m+1" for some integer "m.

Show that the square of any positive integer is either of the form 4q or 4q + 1 form some integer q

Use Euclids division Lemma to show that the cube of any positive integer is either of the form 9m,9m+1 or,9m+8 for some integer m .

Use Euclid's division lemma to show that the cube of any positive integer is of the form 9m ,9m+1 or 9m+8 .

Show that the square of any positive integer cannot be of the form 5m + 2 or 5m +3 for some integer m .

Proof that the square of any positive integer is of the form of 4m or 4m+1 for some integer m.

Show that the square of any positive integer is of the form 3m or,3m+1 for some integer m

Show that the square of any positive integer cannot be of the form 6m+2 or 6m+5 for some integer q.

Using Eulids division lemma, show that the cube of any positive integer is of the form 9m , or ( 9m+1) or ( 9m+8) for some integer m.