Question

Find the smallest number by which following number must be multiplied to get a perfect square. Also, find the square root of the perfect square so obtained. a) 1008 b) 1280 c) 1875​

Answer 1

Answer:

Thus, 1008 needs to be multiplied by 7 to become a perfect square. Therefore, the number 1008 has 4 pairs of equal prime factors . Hence, the smallest number by which1008 must be multiplied so that the product is a perfect square is 7. And the square root of the new number is √7056=84.