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The potential energy of a particle varies with distance \( x \) from a fixed origin as \( U=\frac{A \sqrt{x}}{x^{2}+B} \), where \( A \) and \( B \) are dimensional constants then dimensional formula for \( A B \) is
(1) \( \left[\mathrm{ML}^{7 / 2} \mathrm{~T}^{-2}\right] \)
(2) \( \left[\mathrm{ML}^{1112} \mathrm{~T}^{-2}\right] \)
(3) \( \left[\mathrm{M}^{2} \mathrm{~L}^{9 / 2} \mathrm{~T}^{-2}\right] \)
(4) \( \left[\mathrm{ML}^{13 / 2} \mathrm{~T}^{-3}\right] \)
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