5-12i-5-12i-5-12i-5-12i-

Question Number 19433 by Tinkutara last updated on 11/Aug/17

\frac{\sqrt{5 + 12 i} + \sqrt{5 - 12 i}}{\sqrt{5 + 12 i} - \sqrt{5 - 12 i}} =

Answered by ajfour last updated on 11/Aug/17

= \frac{{(\sqrt{5 + 12 i} + \sqrt{5 - 12 i})}^{2}}{24 i}

= \frac{10 + 2 \sqrt{25 + 144}}{24 i} = \frac{3}{2 i} = - \frac{3}{2} i .

Commented by Tinkutara last updated on 11/Aug/17

Thank you very much Sir!