Question

Rationalize the denominator :
14 / 5√3 - √5

Answer 1

$\mathfrak{\huge{\purple {\underline{\underline{SoLuTiOn :}}}}}$

As Per Given

$= > \frac{14}{5 \sqrt{3} - \sqrt{5} } \\ \\ = > \frac{14}{5 \sqrt{3} - \sqrt{5} } \times \frac{5 \sqrt{3} + \sqrt{5} }{5 \sqrt{3} + \sqrt{5} } \\ \\ = > \frac{14(5 \sqrt{3} + \sqrt{5} )}{(5 \sqrt{3}) {}^{2} - ( { \sqrt{5} })^{2} } \\ \\ = > \frac{70 \sqrt{3} + 14 \sqrt{5} }{75 - 5} \\ \\ = > \frac{70 \sqrt{3} + 14 \sqrt{5} }{70} \\ \\ = > \frac{7(10 \sqrt{3} + 2 \sqrt{5} )}{70} \\ \\ = > \frac{10 \sqrt{3} + 2 \sqrt{5} }{10} \\ \\ or \\ \\ = > \sqrt{3} + 0.2 \sqrt{5}$

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Answer 2

Refer to the attachment..

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