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Method of Finding HCF

If p and q ar...

Question

If p and q are co-prime numbers, then p² and q² are

(a) coprime
(b) not coprime
(c) even
(d) odd

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Solution

We know that the co-prime numbers have no factor in common, or, their HCF is 1.

Thus,and have the same factors with twice of the exponents of p and q respectively, which again will not have any common factor.

Thus we can conclude that and are co-prime numbers.

Hence, the correct choice is (a).

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