if p and q are co primes then {p}^{2} and {q}^{2} are a) coprime b)not

Question

if p and q are co primes then    {p}^{2}   and     {q}^{2}   are a) coprime b)not coprime c)even d)odd   (give reasons for your answer)​

Vivian · Answer

If p and q are co-primes then p² and q² are

(a) co-prime.

Two numbers are considered co-prime or relatively prime to each other when they have no other common factor other than 1.

If p and q are co-primes then,

(p² = p × p) and (q² = q × q) also will not have any common factor other than 1.

Hence they are also co-primes.

if p and q are co primes then [tex] {p}^{2} [/tex]and [tex] {q}^{2} [/tex]area) coprimeb)not