Ask your own question, for FREE!
Mathematics 12 Online
OpenStudy (anonymous):

can anybody please help me with this?

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

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

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 \[(a-b)^2=a^2+b^2-2ab\]

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

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?

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

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

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

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

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! :)

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 :)

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!