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 : Let x be any positive integer then it is of the form 39,34 + or 34 +2. Now square
each of these and show that they can be rewritten in the form 3m or 3m + 1]
5. Use Euclid's division lemma to show that the cube of any positive integer is of the form
9m, 9m + 1 or 9m +8.​

Answer 1

Answer:

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Answer 2

Answer:

Therefore, square of any positive integer can be expressed in 3m and 3m+1.