Prove that : $\displaystyle \frac{1}{{\sqrt {3 + 4i} }} + \frac{1}{{\sqrt {3 - 4i} }} = \pm \frac{4}{5} $
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Originally Posted by dhiab Prove that : $\displaystyle \frac{1}{{\sqrt {3 + 4i} }} + \frac{1}{{\sqrt {3 - 4i} }} = \pm \frac{4}{5} $ Start by expessing 3 + 4i and 3 - 4i in polar form and then use deMoivres Theorem.
Hello dhiab, I agree with mr. fantastic, but here it is another way. I hope you will understand! Bye!
Hello, Lucio! Lovely solution!
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