Root of root!

Algebra Level 2

\[\begin{eqnarray} A &=& \sqrt{12+\sqrt{12+\sqrt{12+\sqrt{12 + \sqrt{12}}}}} + \sqrt{6+\sqrt{6+\sqrt{6 +\sqrt6}}} \\ B &=& \sqrt{15} + \sqrt{11} \end{eqnarray}\]

Which of these numbers is bigger?

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