Question

if p and q are two integer such that p = a b square and q= a square b (where a , b are two prime number) then p,q----
(i). (a square, b square)
(ii) (a cube ,b cube)
(iii) 1
(iv) a,b
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Answer 1

Answer: (iv) a,b

Step-by-step explanation:p=ab^2 q=a^2b

The a,b are prime numbers

The p,q are two intgers then

The a and b are factors of p and q then from LCM we get a.b

And from HCF we get a^2.b^2 from HCF and LCM the Comanche factors for both p and q is

common factor of p,q = HCF/LCM we get a,b

Therefore

The answer: (a,b)