+0  
 
0
104
2
avatar

Solve z^3 = 8*i in complex numbers.

 Jan 11, 2021
 #1
avatar+419 
+1

$$z^3 = 8i$$

$$ \sqrt[3]{z^3} = \sqrt[3]{8i} \Rightarrow \sqrt[3]{8i} = \sqrt[6]{-64}$$

$$= -2i, i - \sqrt{3}, \sqrt{3} + i$$

 

$\square$

 Jan 11, 2021
 #2
avatar+32013 
+2

More generally, we have:

 

 Jan 11, 2021

16 Online Users

avatar