Question

rationalise root 3/root 5-root 3 a tell me fast​

Answer 1

Step-by-step explanation:

$\\ \tt{:}\longrightarrow \frac{ \sqrt{3} }{ \sqrt{5} - \sqrt{3} } \\ \\ \tt{:}\longrightarrow \frac{ \sqrt{3}( \sqrt{5} + \sqrt{3}) }{( \sqrt{5} - \sqrt{3} )( \sqrt{5} + \sqrt{3} ) } \\ \\ \tt{:}\longrightarrow \frac{ \sqrt{3} \sqrt{5} + 3}{( \sqrt{5} ) {}^{2} - ( \sqrt{3} {)}^{2} } \\ \\ \tt{:}\longrightarrow \frac{ \sqrt{3 \times 5} + 3 }{5 -3 } \\ \\ \tt{:}\longrightarrow \frac{ \sqrt{15} + 3}{2}$