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:

Smallest number by which it must be multiplied = 11

Square root of the perfect square so obtained​ = 110

Step-by-step explanation:

First we need to prime - factorize the given number

1100 = 2^2 * 5^2 * 11

To become a perfect square, the number need to be multiplied by 11

So,

1100 * 11 = 12100

Now, 12100 is a perfect square

(12100 = 2^2 * 5^2 * 11^2)

Therefore square root of 12100 = 2*5*11 = 110

Please mark as brainliest answer

Answer 2

Answer:

11

Step-by-step explanation:

Prime factors of 1100 are:

1100=2×2×5×5×11

Multiplying by 11 on both sides

1100 ×11=2×2×5×5×11×11

=(2×5×11)²

Now it is a perfect square

Thus

1100 must be multiplied  by 11 so that the product become a perfect square