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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):
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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
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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
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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 :
\[\frac{\sqrt{a}+\sqrt{b}}{\sqrt{a}-\sqrt{b}} \times \frac{\sqrt{a} + \sqrt{b}}{\sqrt{a} + \sqrt{b}}\]
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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
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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
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