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lgbasallote
 3 years ago
Rationalize:
\[\huge \frac{\sqrt{4+h}  2}h\]
lgbasallote
 3 years ago
Rationalize: \[\huge \frac{\sqrt{4+h}  2}h\]

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Jonask
 3 years ago
Best ResponseYou've already chosen the best response.2\[\frac{ 4+h4 }{ h(\sqrt{4+h}+2) }=\frac{ 1 }{\sqrt{4+h}+2 }\] nomarlly limit question

Jonask
 3 years ago
Best ResponseYou've already chosen the best response.2we multiplied by\[\sqrt{4+h}+2\] both num and denominator

lgbasallote
 3 years ago
Best ResponseYou've already chosen the best response.1hmmm...isn't the point of rationalization to remove radicals from the denominator?

swissgirl
 3 years ago
Best ResponseYou've already chosen the best response.1Well then there were no radicals in the denominator

swissgirl
 3 years ago
Best ResponseYou've already chosen the best response.1So u wld keep it the way it is

Jonask
 3 years ago
Best ResponseYou've already chosen the best response.2imagine if this question was\[\lim_{h \rightarrow 0}\frac{ \sqrt{4+h}2 }{ h }\]

Jonask
 3 years ago
Best ResponseYou've already chosen the best response.2you cant just plug h=0 here but in the rationalised one

lgbasallote
 3 years ago
Best ResponseYou've already chosen the best response.1limits in an algebra question? that's morbid.....

ParthKohli
 3 years ago
Best ResponseYou've already chosen the best response.0Rationalizing means to remove the radical from the place it is in...

swissgirl
 3 years ago
Best ResponseYou've already chosen the best response.1hmmm well u can be asked to rationalize the numerator too

lgbasallote
 3 years ago
Best ResponseYou've already chosen the best response.1now im confused with the contradictions...

swissgirl
 3 years ago
Best ResponseYou've already chosen the best response.1What are the contradictions?

lgbasallote
 3 years ago
Best ResponseYou've already chosen the best response.1@swissgirl said don't change...now she says change

swissgirl
 3 years ago
Best ResponseYou've already chosen the best response.1Just use ur own brain _

lgbasallote
 3 years ago
Best ResponseYou've already chosen the best response.1someone's wrong here....wonder who

ParthKohli
 3 years ago
Best ResponseYou've already chosen the best response.0If they ask you to rationalize the fraction, you do these: 1) If the radical is in the denominator — remove it from the denominator. Do not care about the numerator. 2) If the radical is in the numerator — remove it from the numerator. Do not care about the denominator.

Jonask
 3 years ago
Best ResponseYou've already chosen the best response.2\[\frac{ 1 }{ \sqrt{2} }=\frac{ \sqrt{2} }{ 2 }\]

lgbasallote
 3 years ago
Best ResponseYou've already chosen the best response.1i know what happens if it's in the denominator

swissgirl
 3 years ago
Best ResponseYou've already chosen the best response.1trust me lgba knows how to rationalize a numerator or denomanator

lgbasallote
 3 years ago
Best ResponseYou've already chosen the best response.1the question is if it's in the numerator

ParthKohli
 3 years ago
Best ResponseYou've already chosen the best response.0See how you can't remove the radical from both numerator and denominator?

ParthKohli
 3 years ago
Best ResponseYou've already chosen the best response.0Yes, so move it to the denominator. Do not care about the denominator.

lgbasallote
 3 years ago
Best ResponseYou've already chosen the best response.1my question is not how to rationalize @swissgirl but if it's suppose to be rationalized

ParthKohli
 3 years ago
Best ResponseYou've already chosen the best response.0You can rationalize it, but mathematicians always love if the radical is in the numerator.

lgbasallote
 3 years ago
Best ResponseYou've already chosen the best response.1because what i know is that if it's in the numerator, then it's okay

ParthKohli
 3 years ago
Best ResponseYou've already chosen the best response.0It's better to put radicals in the numerator rather than the denominator.

lgbasallote
 3 years ago
Best ResponseYou've already chosen the best response.1so why put in denominator then?

Jonask
 3 years ago
Best ResponseYou've already chosen the best response.2\[\frac{ \sqrt{2} }{ 2 }=\frac{ 1 }{ \sqrt{2} }\] these is also called rationalising sometimes it is convinient to write in the dinominatpr eg in the case of a limit

swissgirl
 3 years ago
Best ResponseYou've already chosen the best response.1Well what i have always learnt was that rationalization=denominator but I have gone online and seen that some do rationalize the numerator too so it all depends what course you are taking and what you see in your the textbook

ParthKohli
 3 years ago
Best ResponseYou've already chosen the best response.0Yup, I saw that you could rationalize the numerator too though it's rare.

lgbasallote
 3 years ago
Best ResponseYou've already chosen the best response.1when i went online, all i saw were unreliable sources on rationalizing numerators

swissgirl
 3 years ago
Best ResponseYou've already chosen the best response.1http://www.wtamu.edu/academic/anns/mps/math/mathlab/int_algebra/int_alg_tut41_rationalize.htm

ParthKohli
 3 years ago
Best ResponseYou've already chosen the best response.0Never rationalize the numerator unless given a question to perform.

swissgirl
 3 years ago
Best ResponseYou've already chosen the best response.1http://tutorial.math.lamar.edu/Extras/AlgebraTrigReview/Rationalizing.aspx

lgbasallote
 3 years ago
Best ResponseYou've already chosen the best response.1\[\lim_{x \rightarrow 0} \sqrt x\]seems better than \[\lim_{x \rightarrow 0} \frac 1{\sqrt x}\] @Jonask

swissgirl
 3 years ago
Best ResponseYou've already chosen the best response.1These are both reliable sources

Jonask
 3 years ago
Best ResponseYou've already chosen the best response.2how ever if you where asked to do the same function using the first prinsiple you will need to rationalise

lgbasallote
 3 years ago
Best ResponseYou've already chosen the best response.1the links win. can't argue with that.

Jonask
 3 years ago
Best ResponseYou've already chosen the best response.2\[\frac{ \sqrt{x+h}\sqrt{x} }{ h }\]ration. \[\frac{ 1 }{ \sqrt{x+h}+\sqrt{x} }\]

lgbasallote
 3 years ago
Best ResponseYou've already chosen the best response.1square roots in denominators really look weird...
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