SOLUTION: please help me with this. (sqrt5) +1/(sqrt5)-1 thanks a bunch

Question 279164: please help me with this. (sqrt5) +1/(sqrt5)-1 thanks a bunch
Found 2 solutions by Theo, stanbon:
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
I think your expression is:

If so, then:

multiply by to get:

which becomes:

multiply 1 by to get:

which becomes:

multiply this by to get:

Verify this is correct by using your calculator to solve the original expression and then using your calculator to solve the final expression.

Both expressions should give you the same answer (they do).

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
please help me with this. (sqrt5) +1/(sqrt5)-1
-----------------------
[sqrt(5)+1]/[sqrt(5)-1]
----
Multiply numerator and denominator by [sqrt(5) +1] to get:
----
[sqrt(5)+1]^2/[5-1]
---
= [5 +(2sqrt(5))+ 1]/4
---
= [6 + 2sqrt(5)]/4
---
= [3 + sqrt(5)]/2
==========================
cheers,
Stan H.
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