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Mathematics 83 Online
OpenStudy (anonymous):

help algebra2

OpenStudy (anonymous):

Post it chewyti

OpenStudy (anonymous):

OpenStudy (anonymous):

is there anything with choice\[(\sqrt{3}-1)^{2}/2\] ??

OpenStudy (anonymous):

or \[(3-\sqrt{3})^2/6\]???

OpenStudy (anonymous):

mathslover (mathslover):

@chewyti First of all WELCOME TO OPENSTUDY.

mathslover (mathslover):

let me know that , are you aware with "rationalization" ?

OpenStudy (anonymous):

thx

OpenStudy (anonymous):

no

mathslover (mathslover):

wait... for 2 minutes m coming

OpenStudy (anonymous):

D is the answer

OpenStudy (anonymous):

i attatched the choices

OpenStudy (anonymous):

omg thx i really hate algebra i dont get it at all

mathslover (mathslover):

I am back now... I think I should teach you rationalization now.

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

are you still gonna teach me

OpenStudy (anonymous):

are you still gonna teach me @mathslover

mathslover (mathslover):

Yep.

mathslover (mathslover):

So suppose we have a fraction : \[\frac{\sqrt{a} + \sqrt{b}}{\sqrt{a} - \sqrt{b}}\] We now want that the denominator should be "rational" .

mathslover (mathslover):

Now. I to make the denominator rational I would multiply the conjugate of denominator to both numerator and denominator : \[\frac{\sqrt{a}+\sqrt{b}}{\sqrt{a}-\sqrt{b}} \times \frac{\sqrt{a} + \sqrt{b}}{\sqrt{a} + \sqrt{b}}\]

mathslover (mathslover):

Getting it?

OpenStudy (anonymous):

yea kinda keep going i think i remember something like this in one of my lessons

mathslover (mathslover):

Now we have in denominator : (x-y)(x+y) form... so it will be : x^2 - y^2

OpenStudy (anonymous):

oh thx but you kinda lost me

OpenStudy (anonymous):

can yu explain it more

OpenStudy (anonymous):

do you kno how to do asymptotes

mathslover (mathslover):

Yes. see let me take easy example : suppose we have : \[\large{\frac{1+\sqrt{3}}{1-\sqrt{3}}}\] Now multiply the opposite of denominator that is : 1+ sqrt{3} \[\large{\frac{(1+\sqrt{3})(1+\sqrt{3})}{(1-\sqrt{3})(1+\sqrt{3})}}\] Now solve this

mathslover (mathslover):

getting it now?

OpenStudy (anonymous):

is it \[(2+\sqrt{9} \over 2 - \sqrt{9}\]

mathslover (mathslover):

Now : (1^2 - (sqrt(3))^2 ) will be denominator

OpenStudy (anonymous):

mannnn and i was confident on my answer

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