Find the smallest number by which each of the given number must be divided so that the quotient is a perfect square also find the square root of this quotient. 2700
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Answer:
Given number is 1575 first we write it as the product of prime factors
3 1575
3 525
5 175
5 35
7 7
1
∴ 1575= 3×3× 5×5×7
Clearly 7 has no pair so if we divide it by 7 then quotient become a perfect square
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