Question

4. 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.
(Hint: Letx be any positive integer then it is of the form 39,34 + 1 or 34 +2. Now square
each of these and show that they can be rewritten in the form 3m or 3m +1.]​

Answer 1

Explanation:

Answer Expert Verified

On dividing it by 3 , let 'q' be the quotient and 'r' be the remainder. On squaring both the sides, Therefore , the square of any positive integer is either of the form 3m or 3m+1

Answer 2

Answer:

It is the correct answer.

Step-by-step explanation:

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