Consider the complex number w^2 = 1-i . The solution/s w can be found to be:

Question

Consider the complex number   w^2 = 1-i . The solution/s   w  can be found to be:

Answer

w=\sqrt[4]{2}\,	ext{cis}\left(-\dfrac{\pi}{8}ight)  and   w=\sqrt[4]{2}\,	ext{cis}\left(\dfrac{7\pi}{8}ight) .

Answer

w=\sqrt[4]{2}\,	ext{cis}\left(\dfrac{\pi}{8}ight)  and   w=\sqrt[4]{2}\,	ext{cis}\left(-\dfrac{7\pi}{8}ight) .

Answer

w=\sqrt{2}\,	ext{cis}\left(-\dfrac{\pi}{8}ight)  only.

Answer

w=\sqrt{2}\,	ext{cis}\left(\dfrac{\pi}{8}ight)  and   w=\sqrt{2}\,	ext{cis}\left(\dfrac{7\pi}{8}ight) .

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