if p and q are co-prime numbers, then p 2 and q2 are
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Answer:
Co-prime numbers
Step-by-step explanation:
Since the number is co prime it's square will be composite but the two numbers will be co prime
For example: -
7 and 5 are co prime numbers
7^2= 49
5^2= 25
Factors of 49= 1,7,49
Factors of 25= 1,5,25
The two numbers have no same factor
Therefore, they are co prime numbers
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Question
if p and q are co-prime numbers, then p² and q²are
solution
let take an example
let p be 3 and q be 2
so 3 and 2 are coprimes
now q² and p²
3² = 9
2² = 4
now factor of 4 = 2 x 2 x 1
and factor of 9 = 3 x 3 x 1
then comman factor is 1
hence 4 and 9 are coprimes
but 4 = 2² and 2² = q²
and 9 = 3² and 3² = p²
so p² and q² are also coprimes
hope it helps
be brainly
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