Find the smallest number by which 1100 must be multiplied so that the produa
becomes a perfect square. Also, find the square root of the perfect square so
obtained.
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Answer:
The smallest number to be multiplied is 11 and the square root of the perfect square is 110.
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
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