Alg2.1.25

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Rationalise the denominator of \frac{1}{4-\sqrt{5}}\,

Multiplying the numerator and denominator with

4+\sqrt{5}\,

\frac{4+\sqrt{5}}{(4+\sqrt{5})(4-\sqrt{5})}\,

Simplifying the denominator

\frac{4+\sqrt{5}}{16-5}\,

\frac{4+\sqrt{5}}{11}\,


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