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Examveda

$$\left[ {2\sqrt {54} - 6\sqrt {\frac{2}{3}} - \sqrt {96} } \right]$$     is equal to = ?

A. 0

B. 1

C. 2

D. $$\sqrt 6 $$

Answer: Option A

Solution(By Examveda Team)

$$\eqalign{ & {\text{According to question,}} \cr & 2\sqrt {54} - 6\sqrt {\frac{2}{3}} - \sqrt {96} \cr & = \,6\sqrt 6 - 2\sqrt {\frac{2}{3} \times 9} - 4\sqrt 6 \cr & = 6\sqrt 6 - 2\sqrt 6 - 4\sqrt 6 \cr & = 0 \cr} $$

This Question Belongs to Arithmetic Ability >> Simplification

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