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Step-by-step explanation:
(14)
Prime factorization of 60 = 2 * 2 * 3 * 5
The prime factors 3 and 5 do not occur in pairs.
Therefore, 60 is not a perfect square.
(15)
Let the 1st number = x.
Since, product of two numbers = 2475.
So, 2nd number = (2475/x)
According to problem,
⇒ (x/2475/x) = 11/9
⇒ x²/2475 = 11/9
⇒ 9x² = 27225
⇒ x² = 3025
⇒ x² = 55²
⇒ x = 55
Hence,
1st number = 55
2nd number = 2475/55 = 45
Therefore, the numbers are 55 and 45.
Hope it helps!
avni6279:
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