Question

√5+√3/√5-√3 +√5-√3/√5+√3

Answer 1

hey brainy user!

here is ur answer,

Answer:

The answer is

8

Step-by-step explanation:

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

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

$= \frac{5 + 3 + 2 \sqrt{15} + 5 + 3 - 2 \sqrt{15} }{2}$

$= \frac{16}{2} = 8$

hope the answer helps

Answer 2

Step-by-step explanation:

$= > \frac{ \sqrt{5} + \sqrt{3} }{ \sqrt{5} - \sqrt{3} } + \frac{ \sqrt{5} - \sqrt{3} }{ \sqrt{5} + \sqrt{3} } \\ \\ = > \frac{( \sqrt{5} + \sqrt{3})^{2} + ( { \sqrt{5} - \sqrt{3} )}^{2} }{( \sqrt{5} + \sqrt{3} )( \sqrt{5} - \sqrt{3}) } \\ \\ = > \frac{5 + 3 + 2 \sqrt{15} + 5 + 3 - 2 \sqrt{15} }{5 - 3} \\ \\ = > \frac{16}{2} \\ \\ = > 8$