Question

rationalize (14)/(5√3-√5)

Answer 1

Question :-

$\frac{14}{5 \sqrt{3} - \sqrt{5} }$

Solution :-

$\frac{14}{5 \sqrt{3} - \sqrt{5} } \times \frac{5 \sqrt{3} + \sqrt{5} }{5 \sqrt{3} + \sqrt{5} }$

$\frac{14 \times 5 \sqrt{3} + \sqrt{5} }{ {(5 \sqrt{3}) }^{2} - { \sqrt{5} }^{2} }$

$\frac{70 \sqrt{8} }{5 \times 3 - 5}$

$\frac{70 \sqrt{8} }{15 - 5}$

$\frac{70 \sqrt{8} }{10}$

Answer 2

Hope this helps.............