Question

5+√5/5-√5.....ans this guys.....​

Answer 1

Answer:

$\frac{5 + \sqrt{5} }{5 - \sqrt{5} } \\ \\ = \geqslant \frac{5 + \sqrt{5} }{5 - \sqrt{5} } \times \frac{5 + \sqrt{5} }{5 + \sqrt{5} } \\ \\ = \geqslant \frac{(5 + \sqrt{5} ) {}^{2} }{ {5}^{2} - \sqrt{5} {}^{2} } \\ \\ = \geqslant \frac{5 {}^{2} + { \sqrt{5} }^{2} + 2 \times 5 \times \sqrt{5} }{25 - 5} \\ \\ = \geqslant \frac{25 + 5 + 10 \sqrt{5} }{20} \\ \\ = \geqslant \frac{30 + 10 \sqrt{5} }{20} \\ \\ = \geqslant \frac{10(3 + \sqrt{5}) }{20} \\ \\ = \geqslant \frac{3 + \sqrt{5} }{2}$

Answer 2

Answer:

5+√5/5-√5

= (5+√5)^2/(5)^2-(√5)^2

=25+5+10√5/25-5

=30+10√5/20

=10(3+√5)/20

=3+√5/2