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[Han]

It does not seem to lock up for me. I get

{1/9*(3*√(-4*x^2+7)+6*√(abs(x))),1/9*(-3*√(-4*x^2+7)+6*√(abs(x)))}

or

\[ \left\{\frac{1}{9} \cdot (3 \sqrt{-4\cdot x^{2}+7}+6 \sqrt{\mathrm{abs}\left(x\right)}),\frac{1}{9} \cdot (-3 \sqrt{-4\cdot x^{2}+7}+6 \sqrt{\mathrm{abs}\left(x\right)})\right\} \]