Question

(1 + i)4 को a+ib के रूप में व्यक्त कीजिये ?​

Answer 1

Explanation:

$(1 + i) {}^{4} = a + ib \\ \\ ((1 + i) {}^{2} ) {}^{2} = a + ib \\ \\ (1 + 2i + {i}^{2} ) {}^{2} = a + ib \\ \\ (1 + 2i - 1) {}^{2} = a + ib \\ \\ ( {2i)}^{2} = a + ib \\ \\ 4 {i}^{2} = a + ib \\ \\ - 4 = a + ib \\ \\ a + ib = - 4 + 0i \\ comparing \: \: \\ \\ we \: get \: \: a \: = - 4 \\ b = 0$