Question

rationalise the dinominator​

Answer 1

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$\longmapsto \sf \frac{5}{ \sqrt{3} - \sqrt{5} }$

$\longmapsto \sf \frac{5}{ \sqrt{3} - \sqrt{5}} \times \frac{ \sqrt{3} + \sqrt{5} }{ \sqrt{3} + \sqrt{5} }$

$\longmapsto \sf\frac{5 \sqrt{3} + 5 \sqrt{5} }{ {( \sqrt{3}) }^{2} - {( \sqrt{5}) }^{2} }$

$\longmapsto \sf \frac{5 \sqrt{3} + 5 \sqrt{5} }{3- 5 }$

$\longmapsto \sf\frac{5 \sqrt{3} + 5 \sqrt{5} }{ - 2}$

$\longmapsto \sf\frac{5( \sqrt{5} - \sqrt{3})}{2}$