A) 2
B) 3
C) 2
D) 5
Correct Answer: B
Solution :
\[9\sqrt{x}=\sqrt{12}+\sqrt{147}\] \[\Rightarrow \] \[9\sqrt{x}=\sqrt{4\times 4}+\sqrt{49\times 3}\] \[\Rightarrow \] \[9\sqrt{x}=2\sqrt{3}+7\sqrt{3}\] \[\Rightarrow \] \[9\sqrt{x}=9\sqrt{3}\] \[\Rightarrow \] \[\sqrt{x}=\sqrt{3}\] (squaring both sides) \[\Rightarrow \] \[x=3\]
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