Rationalizing Square Roots: 27+9t-3t-t^2/9-3t^2-3t+t

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Homework Help Overview

The discussion revolves around rationalizing square roots and simplifying expressions involving square roots, particularly in the context of algebraic manipulation. The original poster presents a complex expression that includes square roots and seeks clarification on the process of rationalization.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • Participants express confusion regarding the original expression and its clarity, with some suggesting the use of clearer notation. Questions arise about the addition of square roots and the validity of plugging in values into the expression.

Discussion Status

There is an ongoing exploration of the original problem, with some participants attempting to clarify the expression and others questioning the assumptions made. A few suggestions for notation improvements and algebraic approaches have been offered, but no consensus has been reached.

Contextual Notes

Participants note the importance of clear notation, such as using parentheses and standard mathematical symbols, to avoid confusion in the discussion. There is also mention of specific values being plugged into the expression, which may not align with the original problem setup.

afcwestwarrior
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9-t/3-squared t x 3 + square t/3+square t

i get on top 27+9square t -3t-t square t/9-3square t- 3 square t + t

i forgot what happens when u rationa,ize sqaure roots like this
 
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i need help man, anyone know how to add square roots such as 3 square root 5 + 3 square root 7,
 
this doesn't make sense because whenever i plug in the 9 i get 3 and the answer is 6, it doesn't make sense.
 
What does the first post say, it's not clear?
 
Actually NONE of these make sense!
afcwestwarrior said:
9-t/3-squared t x 3 + square t/3+square t

i get on top 27+9square t -3t-t square t/9-3square t- 3 square t + t

i forgot what happens when u rationa,ize sqaure roots like this
If you aren't going to use Latex at least use parentheses to clarify- and "t^2" is clearer than "square t".
I think you mean (9- 3t)/(3-3t^2)+ t^2/(t^2+3). Can you factor 3-3t^2? Get the lowest common denominator and add.

afcwestwarrior said:
i need help man, anyone know how to add square roots such as 3 square root 5 + 3 square root 7,
[itex]3\sqrt{5}+ 3\sqrt{7}[/itex]? About the only thing you can do is factor out the three: [itex]3(\sqrt{5}+ \sqrt{7})[/itex]. There is no way to "add square roots" of different numbers.

afcwestwarrior said:
this doesn't make sense because whenever i plug in the 9 i get 3 and the answer is 6, it doesn't make sense.
Plug 9 into what? What are you talking about?
 
i figured this one out already, i didn't mean 3 squared i meant the square root of 3
 

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