Simplify 11+?5 1 1 + 5 - 11??5

Question 1 Report

Simplify $\frac{1}{1 + \sqrt{5}}$ - $\frac{1}{1 - \sqrt{5}}$

\frac{1}{2} \sqrt{5}

\frac{1}{2} \sqrt{5}

\frac{1}{4} \sqrt{5}

Answer Details

$\frac{1}{1 + \sqrt{5}}$ - $\frac{1}{1 - \sqrt{5}}$
= $\frac{3 - \sqrt{5} - 3 - \sqrt{5}}{(3 + \sqrt{5}) (3 - \sqrt{5}}$
= $\frac{- 2 \sqrt{5}}{9 - 5}$
= $\frac{- 2 \sqrt{5}}{4}$
= - $\frac{1}{2} \sqrt{5}$

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Number Bases

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