The Math Forum

Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.

Math Forum » Discussions » Inactive » k12.ed.math

Notice: We are no longer accepting new posts, but the forums will continue to be readable.

Topic: Please help me simplify this expression.
Replies: 5   Last Post: Jan 24, 2005 2:20 AM

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
George Cox

Posts: 868
Registered: 12/6/04
Re: Please help me simplify this expression.
Posted: Jan 24, 2005 2:19 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply wrote:
> Hello. I have the following expression. I have got it figured out
> except I am missing a minor detail that is causing me to have 2x+1
> instead of 2(x+1) in my final numerator. Please help!
> Note that x^1 is (x to the first power) ^-(1/2) is to the negative 1/2
> power etc...
> Problem: [x(x+2)^-(1/2) + (x+2)^(1/2) ] / (x+2)^(3/2)
> I first separate out the problem and combine the lower exponents to get
> [x((2/(x+2)) + 1/(x+2)] / (x+2)

Well that's wrong! I'm not sure what "combine the lower exponents"
means but I'd proceed as follows. You have

x(x + 2)^{-1/2} + (x + 2)^{1/2}
(x + 2)^{3/2}

multiply top and bottom by (x + 2)^{1/2} to get

x + (x + 2)
(x + 2)^2


2(x + 1)
(x + 2)^2
> ...
> What step am I missing to get quantity 2(x+1) / (x+2)^2???

submissions: post to k12.ed.math or e-mail to
private e-mail to the k12.ed.math moderator:
newsgroup website:
newsgroup charter:

Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© The Math Forum at NCTM 1994-2018. All Rights Reserved.