Question

find the smallest number by which 1100 must be multiplied so that the product becomes a perfect square.Also find the square root of the perfect square so obtained​

Answer 1

Answer:

The smallest number to be multiplied is 11 and the square root of the perfect square is 110

Step-by-step explanation:

Step-by-step explanation:

To obtain the smallest number, we first need to factorize 1100.

By taking LCM the factors of 1100 are: 2 x 2 x 5 x 5 x 11

Number 2 and 5 are repeated twice, hence they are neglected as they come under square numbers.

Thus, 11 is multiplied with 1100 to make it a perfect square.

Thus, the perfect square = 1100 x 11 = 12100.

Square root of the perfect square obtained = √12100=110