Mathematics
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OpenStudy (anonymous):
can anybody please help me with this?
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OpenStudy (anonymous):
OpenStudy (campbell_st):
all you need to do is substitute and evaluate
OpenStudy (anonymous):
did you replace x with 2-root3
OpenStudy (anonymous):
you will get it
OpenStudy (campbell_st):
you will have a squaring the binomial will be the hardest part
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OpenStudy (anonymous):
there will be a hardest part cos sum and difference of two binomial has a Shortcut
OpenStudy (anonymous):
answer is the first option
OpenStudy (anonymous):
it is simple replacing x
OpenStudy (anonymous):
\[(2-\sqrt{3}) ^{2} \]
Just square only 1st and second term
OpenStudy (anonymous):
if your first answer is not in the choices just rationalized it when a Square root is in the denominator
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OpenStudy (anonymous):
How do I substitute in the beginning? can somebody please explain because I don't understand it at all :(
OpenStudy (anonymous):
the ans to \[(2-\sqrt{3})^2\] is \[4+3-4\sqrt{3}\]
OpenStudy (anonymous):
just substitute 2 - sqr.root of 3 to x
OpenStudy (anonymous):
Wrong @Varu 4-3 is the answer in (2-sqr.root of 3)
OpenStudy (anonymous):
no @EinsteinMorse \[(a-b)^2=a^2+b^2-2ab\]
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OpenStudy (anonymous):
\[f(x) = (2-\sqrt{3}) ^{2}/ 2-\sqrt{3} -2\]
OpenStudy (anonymous):
OK I substituted. I Understand that part. What comes next?
OpenStudy (anonymous):
cancel the 2 in the denominator
OpenStudy (anonymous):
why cancel the -2 ? :(
OpenStudy (anonymous):
2-2=0
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OpenStudy (anonymous):
you have to cancel 2 and -2
OpenStudy (anonymous):
to cancel it with the 2 in the numerator ?
OpenStudy (anonymous):
no
OpenStudy (anonymous):
why
OpenStudy (anonymous):
with what does it get canceled?
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OpenStudy (anonymous):
\[2-\sqrt{3}-2= -\sqrt{3}\]
OpenStudy (anonymous):
@RH do you understand
OpenStudy (anonymous):
2-2=0
OpenStudy (anonymous):
so only \[-\sqrt{3}\]
OpenStudy (anonymous):
yah so the answer in the denominator is -sqr.root 3
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OpenStudy (anonymous):
OOOo YES I DO! sorry
OpenStudy (anonymous):
what comes next?
OpenStudy (anonymous):
in the numerator
OpenStudy (anonymous):
yes, -sqrt of 3
OpenStudy (anonymous):
4+3- 2*2* sq root3
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OpenStudy (anonymous):
from \[(a-b)^2\]
OpenStudy (anonymous):
it becomes 7-4 sq root3
OpenStudy (anonymous):
sorry your correct :) Im confused only
OpenStudy (anonymous):
happens
OpenStudy (anonymous):
yes I understand this too...thanks
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OpenStudy (anonymous):
is there more?
OpenStudy (anonymous):
so now \[7-4\sqrt{3}/-\sqrt{3}*\sqrt{3}/\sqrt{3}\]
OpenStudy (anonymous):
\[7-4\sqrt{3} / -\sqrt{3}\]
then Rationalized it
OpenStudy (anonymous):
so answer is \[7\sqrt{3}-12/-3\]
OpenStudy (anonymous):
nice correct that is the answer @RH
we got the same answer
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OpenStudy (anonymous):
So A is the answer? because in the given answers it is +12 and +3 not -3 :(
OpenStudy (anonymous):
Yah Coz when Varu rationalized it HE didnt include negative sign so that why he got -12 and -3
OpenStudy (anonymous):
@RH Try to rationalized it again then include the negative sign and you will get +12 and + 3 for denominator
OpenStudy (anonymous):
But the Answer is letter A
OpenStudy (anonymous):
Ok, thanks a lot for everything! :)
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OpenStudy (anonymous):
I tell you something When you got a Sqr root sign in the denominator just copy the denominator then multiply it to ur first fraction
OpenStudy (anonymous):
Welcome
OpenStudy (anonymous):
ok! Thanks for the advice :)