Simplify (1√5+√3−1√5−√3 1 5 + 3 − 1 5 − 3 x 1√3 1 3 )

Question 1 Report

Simplify ( $\frac{1}{\sqrt{5} + \sqrt{3}} - \frac{1}{\sqrt{5} - \sqrt{3}}$ x $\frac{1}{\sqrt{3}}$ )

√3

√5

2√3

7

-2

-1

Answer Details

( $\frac{1}{\sqrt{5} + \sqrt{3}} - \frac{1}{\sqrt{5} - \sqrt{3}}$ x $\frac{1}{\sqrt{3}}$ )
$\frac{1}{\sqrt{5} + \sqrt{3}} - \frac{1}{\sqrt{5} - \sqrt{3}}$ = $\frac{\sqrt{5} - \sqrt{3} - (\sqrt{5} + \sqrt{3})}{(\sqrt{5} + \sqrt{3}) (5 \sqrt{3})}$
= $\frac{- 2 \sqrt{3}}{5 - 3}$
= $\frac{- 2 \sqrt{3}}{7}$

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Number Bases

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