help! simplify (1 Viewer)

[gamecw]

how do u simplify:
root{3 + root8}
to
1+root2

 

[gamecw]

hey thanks alot

 

[boongsta]

Hey i'm not sure, i was just bored and looked at this and I can't shake this from my head.

ab = rt2
a = b/rt2

On these 2 lines, i don't see how a =b/rt2 if ab = rt2 ... wouldn't it equate to a = rt2/b?? please shove it down my throat if i'm wrong lol I just wanna know before the hsc arrives thanks in advance
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[gamecw]

lol yea i just came back on to pt it out..

neyways it gets the same answer

a = rt2/b
b^4-3b^2+2 =0

b= +/-rt2 a=+/-a

since a+b > 0

a+b = rt2+1

thanks

 

[ThuanSUX]

Here's an alternative solution:

rt[3 + rt(8)]
= rt [1 + 2rt(2) + 2]
= rt[(1 + rt(2))^2] <--- by completing the square
= 1 + rt(2)

 

[ianc]

^^ that's a much better way of doing it. Thanks!