In \(\triangle PQR\), we have \(\angle P = 30^\circ\) , \(\angle RQP = 60^\circ\), and \(\angle R=90^\circ\). Point X is on \(\overline{PR}\) such that \(\overline{QX}\) bisects \(\angle PQR\). If \(PQ = 4\sqrt 3\), then what is \(QX?\)
QX = sqrt(2)
+22 
