Question

Prove that the square of any two integer cannot be of the form 5q+2 or 5q+3 for any integer q please send me this answer immediately with explanations​

Answer 1

Step-by-step explanation:

Show that the square of any positive integer cannot be of the form 5q ... Then, by Euclid's algorithm, a = 5m + r for some integer m ≥ 0 and r = 0, 1, 2, 3, 4 because 0 ≤ r < 5. ... = 5q + 1, where q is any integer. Hence, The square of any positive integer is of the form 5q, 5q + 1, 5q + 4 and cannot be of the form 5q + 2 or 5q + 3 for any integer q.