# Tutor.com Exponential and Logarithmic Functions Session

##### May. 31, 2012

Session Transcript - Math - Algebra II, 5/30/2012 3:20PM - Tutor.comSession Date: 5/30/2012 3:20PM
Length: 30.1 minute(s)
Subject: Math - Algebra II

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

Leo (Customer)
[00:00:00] simplify

Pek Hwa D (Tutor)
[00:00:05] Welcome to Tutor.com ! Let's get started.
[00:00:29] Hello! Yous aid you just need this checked?

Leo (Customer)
[00:00:29] hi
[00:00:41] n
[00:00:43] no
[00:00:59] well i tryed it
[00:01:10] i got 4

Pek Hwa D (Tutor)
[00:01:43] okay let's work through this together

Leo (Customer)
[00:01:46] what did i do

Pek Hwa D (Tutor)

Leo (Customer)
[00:02:11] ok

Pek Hwa D (Tutor)
[00:03:54] okay first let's start by looking at this without simplifying the radical

Leo (Customer)
[00:04:03] ok
[00:04:18] ok
[00:04:29] so its 3

Pek Hwa D (Tutor)
[00:04:44] this would be two of the same radicals so what you need to do first is subtract outside numbers
[00:04:51] yes 3

Leo (Customer)
[00:04:59] ok
[00:05:06] o

Pek Hwa D (Tutor)
[00:05:19] so it looks like this now
[00:05:24] did you follow that part?

Leo (Customer)
[00:05:27] ok got it

Pek Hwa D (Tutor)
[00:05:39] now we need to simplify the radical

Leo (Customer)
[00:05:40] is thats it
[00:05:44] ok
[00:06:10] I'm following...
[00:06:11] Slow down. I'm confused.
[00:06:12] I got it! Thanks!

Pek Hwa D (Tutor)
[00:06:16] do you know how to simplify a radical?

Leo (Customer)
[00:06:49] like 3 times 32 (1/30

Pek Hwa D (Tutor)
[00:07:04] not quite

Leo (Customer)
[00:07:07] like 3 times 32 (1/3)
[00:07:21] 32^1/3

Pek Hwa D (Tutor)
[00:07:32] I see what you are doing but I believe the answer should be in radical form?
[00:07:36] not a decimal?
[00:08:00] let me show you how to break down 32

Leo (Customer)
[00:08:02] ok

Pek Hwa D (Tutor)
[00:08:12] make a factor tree, are ou familiar with that ?

Leo (Customer)
[00:08:57] 2

Pek Hwa D (Tutor)
[00:09:06] okay do you see how I did that?

Leo (Customer)
[00:09:11] yes

Pek Hwa D (Tutor)
[00:10:04] now since the root is 3( that little 3 on the outside ) for every three 2"s you have one comes out and the rest would stay in
[00:10:54] yes, that is it!

Leo (Customer)
[00:10:58] ok

Pek Hwa D (Tutor)
[00:11:01] Were you able to follow that?

Leo (Customer)
[00:11:20] yes

Pek Hwa D (Tutor)
[00:11:31] Okay good. Glad I was able to help!!
[00:11:39] 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

Leo (Customer)
[00:11:58] i have a nother porblem i need help on to

Pek Hwa D (Tutor)

Leo (Customer)
[00:13:13] ok

Pek Hwa D (Tutor)
[00:13:51] something is missing in this problem, no variables?

Leo (Customer)
[00:15:02] yes
[00:15:17] and yes

Pek Hwa D (Tutor)
[00:15:28] oh okay, let's start from the beginning. Can you just write the problem down and we will start over.
[00:16:00] Please write the problem down for us.

Leo (Customer)
[00:16:45] ok

Pek Hwa D (Tutor)
[00:16:54] Thanks! Now one rule in math is that you cannot have a radical in the denominator
[00:17:26] So we need to multiply this by the conjugate of the denominator. Are you familiar with that term?

Leo (Customer)
[00:17:59] yes

Pek Hwa D (Tutor)
[00:18:17] so what would the conjugate of this denominator be?

Leo (Customer)
[00:18:44] 6

Pek Hwa D (Tutor)
[00:19:10] Not exactly. It would be 2 + sq root 3

Leo (Customer)
[00:19:27] ok

Pek Hwa D (Tutor)
[00:19:47] now we need to FOIL both the numerator and denominator. Can you do that part?

Leo (Customer)
[00:20:23] first you times 5 by 2 and the sp root of 3

Pek Hwa D (Tutor)
[00:21:01] yes keep going, good start. Go ahead and write that on the board

Leo (Customer)
[00:21:27] ok

Pek Hwa D (Tutor)

Leo (Customer)
[00:22:55] no

Pek Hwa D (Tutor)

Leo (Customer)
[00:22:58] Slow down. I'm confused.
[00:23:18] ok

Pek Hwa D (Tutor)
[00:23:54] good job , now do the denominator
[00:25:37] very good, can you simplify anything in the denominator?
[00:26:35] Take a look at the denominator. Do you see anything that would cancel out?
[00:27:34] The numerator does not have any "LIKE" terms so that would stay exactly as is
[00:28:25] yes that is correct for the denominator!!
[00:28:32] So what would our answer be for this one?
[00:29:37] You got it!
[00:29:48] Very good!! Any questions on this?

Leo (Customer)
[00:29:47] ok thanks a lot

Pek Hwa D (Tutor)
[00:29:57] glad I was able to help!

Leo (Customer)
[00:29:57] no more