## 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 per

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## Answers ( )

Answer:there fore it should be multiplied by 11 to make a perfect square

And the square is 12100

square root of 12100 is 110

Step-by-step explanation:hope it helps

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Answer:Prime factorization of 1100:

1100 = 2 x 550

= 2 x 2 x 275

= 2 x 2 x 5 x 55

= 2 x 2 x 5 x 5 x 11

It can be written as 1100 = 2² x 5² x 11

In order to make it a perfect square, 1100 should be multiplied by 11

1100×11 = 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.

The square root of obtained perfect square = √12100 = 110

Step-by-step explanation: