If \( x-i y=\sqrt{\frac{a-i b}{c-i d}} \) prove that \( \left(x^{2}...

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If \( x-i y=\sqrt{\frac{a-i b}{c-i d}} \) prove that \( \left(x^{2}+y^{2}\right)^{2}=\frac{a^{2}+b^{2}}{c^{2}+d^{2}} \)
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