# Tutor.com Real Numbers Session

##### Nov. 5, 2013

Session Transcript - Math - Algebra, 10/18/2013 11:28PM - Tutor.comSession Date: 10/18/2013 11:28PM
Length: 20.5 minute(s)
Subject: Math - Algebra

System Message
[00:00:00] *** Please note: All sessions are recorded for quality control. ***

[00:00:01] rationalize the denominator and simplify

Beka J (Tutor)
[00:00:11] Hi!
[00:00:14] I see you need to rationalize
[00:00:27] how can I help you with this problem?
[00:01:48] Do you have an idea how we might start this problem?

[00:02:44] i dont

Beka J (Tutor)
[00:02:56] ok, let me see if I can help :)
[00:03:16] we have to "get rid" of the radical and we have to use something called the "conjugate"
[00:03:20] does that sound familiar?

[00:03:43] do we multiply the denominator by the numerator

Beka J (Tutor)
[00:03:54] no, not quite
[00:04:04] let me explain what a conjugate is
[00:04:19] it is the same terms with a different middle sign...let me show you
[00:04:59] so what would be the "conjugate" of our denominator?
[00:06:02] Great! and remember we have to multiply both top and bottom by it
[00:06:25] whatever you do to the top you have to do to the bottom - Great! :)
[00:06:35] so now we multiply
[00:06:43] we do numerator times numerator
[00:07:29] what do we get when we multiply the numerators?
[00:08:26] Great!
[00:08:34] now what about the denominators?
[00:09:03] Great!
[00:09:08] Does that make sense?
[00:09:27] You got rid of the radical by multiplying by the conjugate

[00:09:37] yes

Beka J (Tutor)
[00:09:52] Good :)
[00:10:02] Do you have any questions about what we did?

[00:10:12] is that the final answer

Beka J (Tutor)
[00:10:20] Yes
[00:10:27] Unless the directions gave you what "x" is
[00:10:36] That fraction is rationalized
[00:11:14] Do you have any questions about how we got that answer?

[00:11:58] no

Beka J (Tutor)
[00:12:15] Ok :)
[00:12:28] I hope I was able to help!
[00:12:53] Thanks for using Tutor.com.Â Please fill out the survey as you leave so we can learn how we can better help you in the future!Â

[00:13:27] it said to simplify also though

Beka J (Tutor)
[00:13:35] ok
[00:13:54] well, there are two thoughts on what is simplified. One is the way that we have it
[00:14:08] the other is to have left the numerator
[00:14:11] let me show you
[00:14:51] Some books say different things about it being fully simplified
[00:15:14] do you know what your book or teacher likes? With it factored out or with it multiplied?
[00:15:54] Either way can be considered correct

[00:15:54] it just says rationalize and simplify

Beka J (Tutor)
[00:16:24] ok, well then you might just be save and put both :)
[00:16:31] Is what you just wrote another problem?

[00:16:40] can we cancel out the 64
[00:16:42] no

Beka J (Tutor)
[00:16:50] ok, no we can't
[00:16:58] you can't cancel "terms"
[00:17:05] anything connected by a + or -

[00:17:26] ok got it

Beka J (Tutor)
[00:17:35] Great :)

[00:17:34] some of my problems it seems like you can
[00:18:03] thank you

Beka J (Tutor)
[00:18:07] you can only cancel when they are "factors" which means connected by multiplication or division
[00:18:22] when added or subtracted you can't cancel the terms like that