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Mathematics 8 Online
OpenStudy (anonymous):

evaluate

OpenStudy (anonymous):

solve what ? ;o

OpenStudy (anonymous):

nevermind i see it now .-.

OpenStudy (anonymous):

\(\frac{ 1 }{ \sqrt{2} +1 }+\frac{ 1 }{ \sqrt{3}+\sqrt{2}}+\frac{ 1 }{ \sqrt{4}+\sqrt{3} }+\frac{ 1 }{ \sqrt{9}+\sqrt{8}}\) Is this your question? :)

OpenStudy (anonymous):

\[\frac{ 1 }{ \sqrt{2} +1 }+\frac{ 1 }{ \sqrt{3}+\sqrt{2}}+\frac{ 1 }{ \sqrt{4}+\sqrt{3} }+\frac{ 1 }{ \sqrt{9}+\sqrt{8}}\]

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

but there is only one error , for that, plse see the attah file

OpenStudy (anonymous):

Any options? or is this essay?

OpenStudy (jhannybean):

\[\large\frac{1}{\sqrt{n+1}+\sqrt{n}}\]

OpenStudy (anonymous):

lol i dont understand with that line Jhan xD

OpenStudy (jhannybean):

Seems like this would be it..... where n is any number...starting from 1.... \(\rightarrow\)9

OpenStudy (jhannybean):

which line?

OpenStudy (jhannybean):

when n=1 \[\large \frac{1}{\sqrt{1+1}+\sqrt{1}}= \frac{1}{\sqrt{2}+1}\] etc.

OpenStudy (jhannybean):

when n=2 \[\large \frac{1}{\sqrt{2+1}+\sqrt{2}}\]

OpenStudy (anonymous):

yes @Jhannybean u r right its .starts from 1.... →9

OpenStudy (jhannybean):

Is it a series? To see whether it converges/diverges?

OpenStudy (anonymous):

the question was just to evaluate the value

OpenStudy (jhannybean):

:\ awkward.i'm not sure.....

OpenStudy (anonymous):

@experimentX

OpenStudy (experimentx):

multiply by conjugate

OpenStudy (anonymous):

1/rt2+rt1+1/rt3+rt2+1/rt4+rt3+1/rt5+rt4 tn=1/rtn+1+rtn rationalize tn=rt(n+1)-rtn t1=rt2-rt1 t2=rt3-rt2 t3=rt4-rt3 t4=rt5-rt4 t5=rt6-rt5 t6=rt7-rt6 t7=rt8-rt7 t8=rt9-rt8 s8=rt9-rt1=3-1=2

OpenStudy (jhannybean):

omg...

OpenStudy (jhannybean):

Parenthesis would help!

OpenStudy (anonymous):

|dw:1372064061960:dw|

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