![z^{\frac{1}{n}}=r^{\frac{1}{n}}[cos(\frac{\theta+2\pi k}{n})+isin(\frac{\theta+2\pi k}{n})]](/tpl/images/0640/1394/5c3d8.png)
( 1 )
![k=0\\\\z_1=(473.01)^{1/3}[cos(\frac{0.48+2\pi(0)}{3})+isin(\frac{0.48+2\pi(0)}{3})]\\\\z_1=7.79(0.99+i2.79*10^{-3})=7.71+i0.02\\\\z_2=7.79[cos(\frac{0.48+2\pi(1)}{3})+isin(\frac{0.48+2\pi(1)}{3})]\\\\z_2=7.73+i0.306\\\\z_3=7.79[cos(\frac{0.48+2\pi(2)}{3})+isin(\frac{0.48+2\pi(2)}{3})]\\\\z_3=7.78+i0.59](/tpl/images/0640/1394/41f40.png)
5. Find all three cube roots of the the complex number z = 473 + 4i, and plot
them in the compl...
Mathematics, 05.05.2020 16:21, kargarzadehsm
5. Find all three cube roots of the the complex number z = 473 + 4i, and plot
them in the complex plane.
Verify the identity
Answers: 2
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