Question

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

Answer 1

Answer:

We have 1100.

Factors of 1100 is 2×2×5×5×11

As the prime factor 11 has no pair ,so 11 is not a perfect square.

If the 11 gets pair then the number will become perfect square.So we multiply 1100 by 11 to get ,

1100×11=12100( factor of 12100 is 2×2×5×5×11×11).

Now each factor is in pair . Therefore,

1100×11=12100 is a perfect square

Thus ,the required smallest multiple of 1100 is 12100 which is a perfect square.

And,. √12100 = 110.