Question

1/(2 + √5) can also be written as *

Answer 1

Step-by-step explanation:

$\frac{1}{2 + \sqrt{5} } \times \frac{2 - \sqrt{5} }{2 - \sqrt{5} }$

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

$\frac{2 - \sqrt{5} }{ - 1}$

Or can be written as

$- 2 + \sqrt{5}$

Answer 2

Step-by-step explanation:

2+51×2−52−5

\frac{2 - \sqrt{5} }{ {2}^{2} - ( { \sqrt{5} )}^{2} }22−(5)22−5

\frac{2 - \sqrt{5} }{ - 1}−12−5

Or can be written as

- 2 + \sqrt{5}−2+5