Question

$\frac{1 + \sqrt{2} }{ \sqrt{5 + \sqrt{3} } } + \frac{1 - \sqrt{2} }{\sqrt{5 + \sqrt{3} } }$
pls solve it ​

Answer 1

Step-by-step explanation:

$\frac{(1 + \sqrt{2})(1 - \sqrt{2} }{( \sqrt{5 + \sqrt{3} )} }$

now applying the formula

${(a)}^{2} - {(b)}^{2} = (a + b)(a - b)$

$\frac{ {(1)}^{2} - { (\sqrt{2}) }^{2} }{( \sqrt{5 + \sqrt{3)} } }$

$\frac{ - 1}{( \sqrt{5 + \sqrt{3)} } }$

hope you like my answer