Question

rationalize the denominator of root 5_root 3 /root 5 + root 3

Answer 1

Hey mate!

Here's ur answer dear:-)
________________________
________________________


$\frac{ \sqrt{5} - \sqrt{3} }{ \sqrt{5} + \sqrt{3} } \\ \\ \frac{ \sqrt{5} - \sqrt{3} }{ \sqrt{5} + \sqrt{3} } \times \frac{ \sqrt{5} - \sqrt{3} }{ \sqrt{5} - \sqrt{3} } \\ \\ \frac{( \sqrt{5} - \sqrt{3} ) {}^{2} }{( \sqrt{5}) {}^{2} - ( \sqrt{3} ) {}^{2} } \\ \\ \frac{5 - 2 \sqrt{15} + 3 }{5 - 3} \\ \\ \frac{8 - 2 \sqrt{15} }{2} \\ \\ \frac{2(4 - \sqrt{15} )}{2} = 4 - \sqrt{15}$

________________________
________________________

HOPE IT HELPS!

#ße ßrainly ✌✌