- #1

- 457

- 0

how do you do that

- Thread starter afcwestwarrior
- Start date

- #1

- 457

- 0

how do you do that

- #2

- 11

- 0

Fractions are already rational. Here's what "rational" means: http://en.wikipedia.org/wiki/Rational_number" [Broken]

Last edited by a moderator:

- #3

arildno

Science Advisor

Homework Helper

Gold Member

Dearly Missed

- 9,970

- 132

Incorrect!Fractions are already rational. Here's what "rational" means: http://en.wikipedia.org/wiki/Rational_number" [Broken]

A "fraction" is a real number that is written as the product of one real number a (called the "numerator"), and the multiplicative inverse of a real (non-zero) number b (called the denominator).

To "rationalize" a fraction means to rewrite the denominator as a natural number, if possible.

Example:

[tex]\frac{1}{\sqrt{2}}=\frac{1}{\sqrt{2}}*1=\frac{1}{\sqrt{2}}*\frac{\sqrt{2}}{\sqrt{2}}=\frac{\sqrt{2}}{2}[/tex]

Last edited by a moderator:

- #4

HallsofIvy

Science Advisor

Homework Helper

- 41,833

- 961

What does this have to do with calculus? I am moving it to "General Math".

- #5

HallsofIvy

Science Advisor

Homework Helper

- 41,833

- 961

The example arildno gave was rationalizing the

- #6

- 11

- 0

My apologies! I've made a big fool of myself once again. I was thinking about "realising" as in making the denominator of a fraction (containing complex numbers) real! (I was taught this term back in high school, here in Australia.) arildno and Hallsofivy are absolutely correct.I've never heard of "realizing" a fraction! What language is that translated from?

I'm really sorry for wasting everyone's time. I think I should go back to lurking.

- #7

arildno

Science Advisor

Homework Helper

Gold Member

Dearly Missed

- 9,970

- 132

I stand corrected.fractions!

The example arildno gave was rationalizing thedenominatorof a fraction. There are also times when one would want to rationalize thenumeratorof a fraction. In general, it is not possible to rationalize both numerator and denominator at the same time.

- #8

HallsofIvy

Science Advisor

Homework Helper

- 41,833

- 961

"realizing"! I like that. Reminds me of when, in an algebra class, we were learning about 'adding' an identity to a semigroup (to make it a monoid) and we had quite an argument about what the process should be called.My apologies! I've made a big fool of myself once again. I was thinking about "realising" as in making the denominator of a fraction (containing complex numbers) real! (I was taught this term back in high school, here in Australia.) arildno and Hallsofivy are absolutely correct.

I'm really sorry for wasting everyone's time. I think I should go back to lurking.

Suggestions were "unification", "one-ification" and "identification"!

- Replies
- 6

- Views
- 5K

- Replies
- 5

- Views
- 3K

- Last Post

- Replies
- 2

- Views
- 2K

- Replies
- 2

- Views
- 2K

- Replies
- 8

- Views
- 843

- Replies
- 10

- Views
- 6K

- Replies
- 7

- Views
- 843

- Last Post

- Replies
- 6

- Views
- 1K

- Replies
- 9

- Views
- 2K

- Replies
- 4

- Views
- 4K