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1/2√5-√3 into rationalising denominator

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1/2√5-√3 into rationalising denominator
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\(\frac {1}{2\sqrt {5}- \sqrt {3}}\)

\(=\frac {2\sqrt {5}+ \sqrt {3}}{(2\sqrt {5}-\sqrt {3})(2\sqrt {5}+ \sqrt {3})}\)

\(=\frac {2\sqrt {5}+ \sqrt {3}}{20 - 3}\)

\(=\frac {2 \sqrt {5}+ \sqrt {3}}{17}\)

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