Question

Express 5+√2i/1-√2i in the form a+ ib​

Answer 1

Explanation:

Hey ❤

$\frac{5 + \sqrt{2i} }{1 - \sqrt{2i} } \times \frac{1 + \sqrt{2i} }{1 + \sqrt{2i} } \\ \\ = \frac{5 + 5 \sqrt{2i} + \sqrt{2i} - 2}{1 - { \sqrt{2i} }^{2} } \\ \\ = \frac{3 + 6 \sqrt{2i} }{1 + 2} \\ \\ = \frac{3(1 + 2 \sqrt{2i)} }{3} \\ \\ = 1 + 2 \sqrt{2i}$

Answer 2

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