+0  
 
0
107
1
avatar

Simplify \((1 + i\sqrt{3})^6\)

 Dec 18, 2020
 #1
avatar+11262 
+1

Simplify \((1 + i\sqrt{3})^6 \)

 

Hello Guest!

 

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

laugh  !

 Dec 18, 2020
edited by asinus  Dec 18, 2020
edited by asinus  Dec 18, 2020

16 Online Users

avatar