Question

Find the smallest natural number by which 1196 should be multiplied so that the
square root of the product is a rational number.

Answer 1

1,2,4,13,23,26,46,52,92,299,598,1196

par

on factorizing we have

2,2,13,23

you get 2√299 hence to make it a perfect square you should multilply it with 299

so you get 357604

Answer 2

Factories 1200 by factor method.

1200=2x2x5x5x2x2x3

so three is the smallest natural number by which 1 200 should be multiplied so that the square root of the product is a rational number.

1200X 3=3600

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