Question

Find the cube root of 1+¡^5​

Answer 1

4. ¡^5= ¡
5. so we have cuberoot of 1+¡
6. x=1 y=1
7. to find d modulus we have
8. r=squaroot of 1²+ 1²= 2
9. r= squaroot of 2
10. we find the argard diagram by using
11. tan(tha)=y/x
12. tan(tha)=1/1
13. tha=tan-¹ 1
14. tha=45
15. using the formula of root of complex number we have
16. z=r^1/n (cos(tha+2k(180))/n +¡sin(tha+2k(180)/n) when k elemen z+ and n=3
17. when k=0
18. we have
19. z=(squaroot of 2)^1/3 *1/2squaroot of 2
20. like wise when k=1 and k=2