how to solve the equation of 2/4+√5

Question

I'm not sure where Accelerated Math 1 falls in these categorites, but if you would please view and answer this equation step by step, I'd really appreicate it.  I understand the concept, just not this particular problem on my homework.

Answer 1

I am not sure what you need.
And the above is not an equation, it is just a term.
Hence, I assume what you need is this:

2 / (4 + sqrt(5))
= 2(4 - sqrt(5)) / (4 + sqrt(5))(4 - sqrt(5))
= (8 - 2sqrt(5)) / (4^2 - (sqrt(5))^2)
= (8 - 2 sqrt(5)) / (16 - 5)
= (8 - 2 sqrt(5)) / (11)
= (8/11) - (2/11)sqrt(5)

Answer 2

Well, my math homework is a matching of the questions and answers and showing your work. You didn't get the correct answer (its my last one, all i needed was the work), but I understand how to do it now. Thanks