Question

$$\sqrt{3+4\sqrt{-2+4\sqrt{15+6\sqrt{6}}}$$

Answer

sqrt(3)+4*sqrt(2)*IM+4*sqrt(15)+6*sqrt(6)

Solution


Simplify  \(\sqrt{-2}\)  to  \(\sqrt{2}\imath \).
\[\sqrt{3}+4\sqrt{2}\imath +4\sqrt{15}+6\sqrt{6}\]