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2\sqrt{3}+\sqrt{3} is equal to –

(A).2\sqrt{6}
(B) 6
(C)3\sqrt{3}
(D) 4\sqrt{6}

Answers (1)

best_answer

Answer.         [C]
Solution.        
We can see that both the numbers \sqrt{3} and 2\sqrt{3} are irrational numbers.
So their decimal representation will be non terminating, non repeating. So we
cannot find the exact answer by adding their decimal representations.
Now 2\sqrt{3}+\sqrt{3} can be written as

= \sqrt{3}\left ( 2+1 \right ) Taking \sqrt{3} common

Hence the correct answer is 3\sqrt{3}

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