簡約-(75(-1)^{1/4}(74+69i))/(7754-5497i)

解

簡約

- \frac{75 ( - 1 ) ^{\frac{1}{4}} ( 74 + 69 i )}{7754 - 5497 i}

- \frac{75 ( - 1 ) ^{\frac{1}{4}} ( 194503 + 941804 i )}{775 4 ^{2} + 30217009}

解答ステップ

- \frac{75 ( - 1 ) ^{\frac{1}{4}} ( 74 + 69 i )}{7754 - 5497 i}

共役で乗じる

\frac{7754 + 5497 i}{7754 + 5497 i}

= - \frac{75 ( - 1 ) ^{\frac{1}{4}} ( 74 + 69 i ) ( 7754 + 5497 i )}{( 7754 - 5497 i ) ( 7754 + 5497 i )}

簡素化

- \frac{75 ( - 1 ) ^{\frac{1}{4}} ( 74 + 69 i ) ( 7754 + 5497 i )}{( 7754 - 5497 i ) ( 7754 + 5497 i )} : - \frac{75 ( - 1 ) ^{\frac{1}{4}} ( 194503 + 941804 i )}{775 4 ^{2} + 30217009}

= - \frac{75 ( - 1 ) ^{\frac{1}{4}} ( 194503 + 941804 i )}{775 4 ^{2} + 30217009}