Question

simplify
$\frac{5}{ \sqrt{3} + \sqrt{5} }$ + $\frac{5}{ \sqrt{3} + \sqrt{5} }$
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With proper explanation please !!!!
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Answer 1

Explanation:

10/√3+√5 ----- by taking LCM and adding

by rationalization

10(√3-√5)/3-5

10√3-10√5/-2

-5(√3-√5)..

Answer 2

$= \frac{5}{ \sqrt{3} + \sqrt{5} } + \frac{5}{ \sqrt{3} + \sqrt{5} } \\ = 2( \frac{5}{ \sqrt{3} + \sqrt{5} } ) \\ = \frac{10}{ \sqrt{3} + \sqrt{5} } \frac{( \sqrt{3} - \sqrt{5} )}{( \sqrt{3} - \sqrt{5} )} \\ = \frac{10( \sqrt{3} - \sqrt{5}) }{ { (\sqrt{3} })^{2} - { (\sqrt{5} })^{2} } \\ = \frac{10( \sqrt{3} - \sqrt{5} )}{3 - 5} \\ = \frac{10( \sqrt{3} - \sqrt{5} ) }{ - 2 } \\ = - 5( \sqrt{3} - \sqrt{5} ) \\ = - 5 \sqrt{3} + 5 \sqrt{5}$

#Answer

=-5√3+5√5