Evaluate
\frac{5\left(-\sqrt{5}-7+i\sqrt{2\left(5\sqrt{5}+25\right)}\right)\left(-3i\sqrt{2\left(\sqrt{5}+5\right)}+\sqrt{5}-3\right)}{-9i\sqrt{2\left(\sqrt{5}+5\right)}+9\sqrt{5}+43}\approx 3.090169944+9.510565163i
Real Part
10\left(-Im(\frac{-3i\sqrt{2\left(\sqrt{5}+5\right)}+\sqrt{5}-3}{2\left(-9i\sqrt{2\left(\sqrt{5}+5\right)}+9\sqrt{5}+43\right)})\sqrt{2\left(5\sqrt{5}+25\right)}-\left(\sqrt{5}+7\right)Re(\frac{-3i\sqrt{2\left(\sqrt{5}+5\right)}+\sqrt{5}-3}{2\left(-9i\sqrt{2\left(\sqrt{5}+5\right)}+9\sqrt{5}+43\right)})\right)
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