Question

find the smallest natural number by which 1200 should be multiplied so that the square root of the product is a rational number

Answer 1

Hey!!!!!

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By Prime Factorisation Method,

=> 1200 = 2² x 2² x 3 x 5²

Clearly 3 appears only once

=> Thus we need to multiply 1200 with 3 to make a perfect square.

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Hope this helps ✌️