Answer:
16i√3
Step-by-step explanation:
I would write the radicals of negative numbers in terms of i, combine factors outside the radicals and combine factors inside the radicals. The power of i can be rewritten as a power of a power.
[tex]=i\sqrt{3}\cdot 2i\sqrt{8}(-2)i\sqrt{2}\cdot i^{88}\\\\=(2)(-2)\sqrt{(3)(8)(2)}\cdot i^{91}\\\\=-4\sqrt{48}\cdot (i^2)^{45}\cdot i\\\\=-16\sqrt{3}(-1)^{45}\cdot i\\\\=16i\sqrt{3}[/tex]
