+14913 Simplify \((1 + i\sqrt{3})^6 \)
Hello Guest!
\(\color{BrickRed}(1 + i\sqrt{3})^6\\ =(1 + i\sqrt{3})^2(1 + i\sqrt{3})^2(1 + i\sqrt{3})^2\\ = ( -2+i\cdot 2\sqrt{3}) ^2 \cdot (-2+i\cdot 2\sqrt{3})\\ =(-2^3-i\cdot 2^3\sqrt{3}) \cdot (-2+i\cdot 2\sqrt{3})\\ =\color{blue}64\)
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