Question

simplify the following(5+√5)(5-√5)​

Answer 1

Answer:

answer for the given problem is given

Answer 2

Step-by-step explanation:

$\frac{5 + \sqrt{5} }{5 - \sqrt{5} } = \frac{5 + \sqrt{5} }{5 - \sqrt{5} } \times \frac{5 + \sqrt{5} }{5 + \sqrt{5} }$

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

$= \frac{5 \times {( \sqrt{5 } + 1) }^{2} }{4 \times 5}$

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