## lgbasallote Group Title Rationalize: $\huge \frac{\sqrt{4+h} - 2}h$ one year ago one year ago

$\frac{ 4+h-4 }{ h(\sqrt{4+h}+2) }=\frac{ 1 }{\sqrt{4+h}+2 }$ nomarlly limit question

we multiplied by$\sqrt{4+h}+2$ both num and denominator

3. lgbasallote Group Title

hmmm...isn't the point of rationalization to remove radicals from the denominator?

4. swissgirl Group Title

Well then there were no radicals in the denominator

5. swissgirl Group Title

So u wld keep it the way it is

6. lgbasallote Group Title

really?

imagine if this question was$\lim_{h \rightarrow 0}\frac{ \sqrt{4+h}-2 }{ h }$

8. lgbasallote Group Title

??

you cant just plug h=0 here but in the rationalised one

10. swissgirl Group Title

Ohh that is cool :P

11. lgbasallote Group Title

limits in an algebra question? that's morbid.....

12. ParthKohli Group Title

Rationalizing means to remove the radical from the place it is in...

13. swissgirl Group Title

hmmm well u can be asked to rationalize the numerator too

14. lgbasallote Group Title

now im confused with the contradictions...

15. swissgirl Group Title

16. lgbasallote Group Title

@swissgirl said don't change...now she says change

17. swissgirl Group Title

Just use ur own brain -_-

18. swissgirl Group Title

lol

19. lgbasallote Group Title

someone's wrong here....wonder who

20. ParthKohli Group Title

If 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.

$\frac{ 1 }{ \sqrt{2} }=\frac{ \sqrt{2} }{ 2 }$

rationalised

23. lgbasallote Group Title

i know what happens if it's in the denominator

24. swissgirl Group Title

trust me lgba knows how to rationalize a numerator or denomanator

25. lgbasallote Group Title

the question is if it's in the numerator

26. ParthKohli Group Title

See how you can't remove the radical from both numerator and denominator?

27. ParthKohli Group Title

Yes, so move it to the denominator. Do not care about the denominator.

28. lgbasallote Group Title

my question is not how to rationalize @swissgirl but if it's suppose to be rationalized

29. ParthKohli Group Title

You can rationalize it, but mathematicians always love if the radical is in the numerator.

30. lgbasallote Group Title

because what i know is that if it's in the numerator, then it's okay

31. ParthKohli Group Title

It's better to put radicals in the numerator rather than the denominator.

32. lgbasallote Group Title

so why put in denominator then?

$\frac{ \sqrt{2} }{ 2 }=\frac{ 1 }{ \sqrt{2} }$ these is also called rationalising sometimes it is convinient to write in the dinominatpr eg in the case of a limit

34. swissgirl Group Title

Well 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

35. ParthKohli Group Title

Yup, I saw that you could rationalize the numerator too though it's rare.

36. lgbasallote Group Title

when i went online, all i saw were unreliable sources on rationalizing numerators

37. swissgirl Group Title
38. ParthKohli Group Title

Never rationalize the numerator unless given a question to perform.

39. swissgirl Group Title
40. lgbasallote Group Title

$\lim_{x \rightarrow 0} \sqrt x$seems better than $\lim_{x \rightarrow 0} \frac 1{\sqrt x}$ @Jonask

41. swissgirl Group Title

These are both reliable sources

42. lgbasallote Group Title

hmm

how ever if you where asked to do the same function using the first prinsiple you will need to rationalise

44. lgbasallote Group Title

the links win. can't argue with that.

$\frac{ \sqrt{x+h}-\sqrt{x} }{ h }$ration. $\frac{ 1 }{ \sqrt{x+h}+\sqrt{x} }$