Q31 of 56 Page 17

Find the smallest natural no. by which 1200 should be multiplied so that the square root of the product is a rational number.

Here we have to find out smallest number by which should be multiplied to make the square root of product a rational number, so will first find

⇒





Let the number to be multiplied be x.


Now according to the condition,



So, 3 is the smallest natural number that needs to be multiplied with 1200, so as to make the product a rational number.


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