Question

2. Find the reciprocal of 1575: Find the smallest number to be divided so that the result is a perfact square.

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Answer 1

Answer:

1/1575 , 7

Step-by-step explanation:

$sol {}^{n}$

1575 = 5×5×3×3×7

The prime factorisation of 1575 shows that all the prime factors of 1575 do not form pairs ie prime factor 7 is not forming pair. If divide 1575 by 7 then other factors will be in pairs which give us a perfect square.

Hence the smallest number by which 1575 is to be divided to make it a perfect square is 7.

Ans:7

Reciprocal of 1575 is 1/1575