Hey there I need some help simplifying this problem

hope you guys can see it

Attachment 25901

oh and that is an 8th root if you guys are wondering

also I'm looking for the steps to go about simplifying this problem not just the answer thanks

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- Nov 24th 2012, 10:07 AMgfbrdSimplifying help
Hey there I need some help simplifying this problem

hope you guys can see it

Attachment 25901

oh and that is an 8th root if you guys are wondering

also I'm looking for the steps to go about simplifying this problem not just the answer thanks - Nov 24th 2012, 10:17 AMskeeterRe: Simplifying help

what makes you think the expression can be simplified further than the form you've written? - Nov 24th 2012, 10:19 AMgfbrdRe: Simplifying help
because i know the simplified form

i just dont know how to go about simplifying it thats all - Nov 24th 2012, 10:30 AMskeeterRe: Simplifying help
care to share that "simplified form" ... because my CAS can't do it.

- Nov 24th 2012, 10:36 AMgfbrdRe: Simplifying help
it should be

(3 + sqrt(5))/ 2 - Nov 24th 2012, 10:45 AMskeeterRe: Simplifying help
uhh ...

??? - Nov 24th 2012, 10:56 AMgfbrdRe: Simplifying help
oh sorry i made a mistake in typing the problem

it should be + 987sqrt(5) not subtract - Nov 24th 2012, 11:14 AMskeeterRe: Simplifying help
That looks better to the calculator, but I can't see a quick simplification at this time. If it doesn't come to me, hopefully someone else can help.

- Nov 24th 2012, 11:25 AMgfbrdRe: Simplifying help
oh alright thanks for helping

- Nov 24th 2012, 06:10 PMProve ItRe: Simplifying help
- Nov 24th 2012, 08:02 PMSorobanRe: Simplifying help
Hello, gfbrd!

Quote:

. . . . no

The original expression has a "minus": .

You must mean: .

. . which happens to equal: .

. . where , the Golden Ratio.

It can be shown that: .

~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~

I'd like to share a "trick" for raising to higher powers.

One of the root of the quadratic equation: . .is

This means: .

Divide by

We have: .

Square: .

Square: .

Square: .

Square: .

Hence: .

Therefore: .

- Nov 24th 2012, 08:12 PMProve ItRe: Simplifying help
- Nov 25th 2012, 08:36 PMgfbrdRe: Simplifying help
Thanks for your help everyone, I'll see if I can figure something out from what soroban did