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Square Root and Cube Root
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If $$\sqrt 6 = 2.449{\text{,}}$$   then the value of $$\frac{{3\sqrt 2 }}{{2\sqrt 3 }}$$   is = ?

Answer & Solution
Correct Answer: Option D
$$\eqalign{ & = \frac{{3\sqrt 2 }}{{2\sqrt 3 }} \cr & = \frac{{3\sqrt 2 }}{{2\sqrt 3 }} \times \frac{{\sqrt 3 }}{{\sqrt 3 }} \cr & = \frac{{3\sqrt 6 }}{{2 \times 3}} \cr & = \frac{{\sqrt 6 }}{2} \cr & = \frac{{2.449}}{2} \cr & = 1.2245 \cr} $$
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