[tex]{\huge{\underline{\mathcal{\purple{Solution}}}}}[/tex] Step-by-step explanation: [tex] \frac{ \sqrt{5} + \sqrt{3} }{ \sqrt{5} – \sqrt{3} } + \frac{ \sqrt{5} – \sqrt{3} }{ \sqrt{5} + \sqrt{3} } \\ = \frac{ \sqrt{8} }{ \sqrt{2} } + \frac{ \sqrt{2} }{ \sqrt{8} } \\ = \frac{ \sqrt{16} + \sqrt{2} }{ \sqrt{8} } \\ = \frac{4 + \sqrt{2} }{ \sqrt{8} } \\ now \: rationalising \\ = \frac{4 + \sqrt{2} }{ \sqrt{8} } \times \frac{ \sqrt{8} }{ \sqrt{8} } \\ = \frac{4 \sqrt{8} + \sqrt{16} }{ ({ \sqrt{8} })^{2} } \\ = \frac{4 \sqrt{8} + 4}{8} \\ = \sqrt{8} + 2[/tex] Mark me the Brainliest Reply
[tex]{\huge{\underline{\mathcal{\purple{Solution}}}}}[/tex]
Step-by-step explanation:
[tex] \frac{ \sqrt{5} + \sqrt{3} }{ \sqrt{5} – \sqrt{3} } + \frac{ \sqrt{5} – \sqrt{3} }{ \sqrt{5} + \sqrt{3} } \\ = \frac{ \sqrt{8} }{ \sqrt{2} } + \frac{ \sqrt{2} }{ \sqrt{8} } \\ = \frac{ \sqrt{16} + \sqrt{2} }{ \sqrt{8} } \\ = \frac{4 + \sqrt{2} }{ \sqrt{8} } \\ now \: rationalising \\ = \frac{4 + \sqrt{2} }{ \sqrt{8} } \times \frac{ \sqrt{8} }{ \sqrt{8} } \\ = \frac{4 \sqrt{8} + \sqrt{16} }{ ({ \sqrt{8} })^{2} } \\ = \frac{4 \sqrt{8} + 4}{8} \\ = \sqrt{8} + 2[/tex]
Mark me the Brainliest