How do you simplify $\frac{2 - \sqrt{5}}{3 + \sqrt{5}}$ $(2 - sqrt5) / (3 +sqrt5)$ ?

Question

How do you simplify $\frac{2 - \sqrt{5}}{3 + \sqrt{5}}$ $(2 - sqrt5) / (3 +sqrt5)$ ?

1 Answer

Impact of this question

1149 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-04-20T12:34:43

$\frac{2 - \sqrt{5}}{3 + \sqrt{5}} = \frac{11 - 5 \sqrt{5}}{4}$ $(2-sqrt5)/(3+sqrt5)=(11-5sqrt5)/4$

Explanation:

$\frac{2 - \sqrt{5}}{3 + \sqrt{5}}$ $(2-sqrt5)/(3+sqrt5)$

$\frac{(2 - \sqrt{5}) (3 - \sqrt{5})}{(3 + \sqrt{5}) (3 - \sqrt{5})} = \frac{6 - 2 \sqrt{5} - 3 \sqrt{5} + {(\sqrt{5})}^{2}}{3^{2} - {(\sqrt{5})}^{2}}$ $((2-sqrt5)(3-sqrt5))/((3+sqrt5)(3-sqrt5))=(6-2sqrt5-3sqrt5+(sqrt5)^2)/(3^2-(sqrt5)^2)$

$\frac{6 - 5 \sqrt{5} + 5}{9 - 5} = \frac{11 - 5 \sqrt{5}}{4}$ $(6-5sqrt5+5)/(9-5)=(11-5sqrt5)/4$

$\frac{2 - \sqrt{5}}{3 + \sqrt{5}} = \frac{11 - 5 \sqrt{5}}{4}$ $(2-sqrt5)/(3+sqrt5)=(11-5sqrt5)/4$

Science

Math

Humanities

... and beyond

How do you simplify $\frac{2 - \sqrt{5}}{3 + \sqrt{5}}$ $(2 - sqrt5) / (3 +sqrt5)$ ?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do you simplify 2−√53+√5(2 - sqrt5) / (3 +sqrt5)?

1 Answer

Explanation:

Related questions

Impact of this question

How do you simplify $\frac{2 - \sqrt{5}}{3 + \sqrt{5}}$ $(2 - sqrt5) / (3 +sqrt5)$ ?