Question

find the smallest number by which 1100 must be multiplied so that the product becomes perfect square ,Also ,find the square root of the perfect square so obtained
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Answer 1

Answer: Perfect square= 12100

              Square root= 110

Step-by-step explanation:

By Prime factorization, we get:

1100  = 2 x 2 x 5 x 5 x 11

To make it a perfect square, we should multiply 1100 by 11.

Therefore, 1100 x 11 = 2² x 5² x 11 x 11 = 2² x 5² x 11² = 12100.

So, the perfect square obtained by multiplying 1100 by 11 is 12100.

Thus,the square root of the perfect square(12100) = √12100 = 110