Answer:
10, 5, 19
Step-by-step explanation:
Recall that
[tex] {a}^{2} - {b}^{2} = (a + b)(a - b)[/tex]
So we can multiply the fraction by
[tex] \frac{2 \sqrt{5} + 1 }{2 \sqrt{5} + 1 } [/tex]
And get
[tex] \frac{ \sqrt{5} }{2 \sqrt{5} - 1} \times \frac{2 \sqrt{5} + 1 }{2 \sqrt{5} + 1 } = \frac{10 + \sqrt{5} }{20 - 1} = \frac{10 + \sqrt{5} }{19} [/tex]
