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What is the value of 1.21×0.91.1×0.11\sqrt{\frac{1.21×0.9}{1.1×0.11}}1.1×0.111.21×0.9​​​ ?
Question

What is the value of 1.21×0.91.1×0.11\sqrt{\frac{1.21×0.9}{1.1×0.11}}​ ?

A.

12

B.

3

C.

6

D.

9

Correct option is B

Given:

1.21×0.91.1×0.11\sqrt{\frac{1.21×0.9}{1.1×0.11}}

Solution: 

1.21×0.91.1×0.11\sqrt{\frac{1.21×0.9}{1.1×0.11}}    

Removing the decimals;

121×911×11 =(11×11)×(3×3)11×11 =3×3 =3\sqrt{\frac{121×9}{11×11}} \\ \ \\ = \sqrt{\frac{(11\times 11)× (3 \times 3)}{11×11}} \\ \ \\ =\sqrt {3 \times 3} \\ \ \\ = \bf 3 ​​

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