How do I rationalize the numerator in this expression?

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Homework Help Overview

The problem involves rationalizing the numerator of a given expression, specifically the fraction (sqrt(h^2+5h+4) - 2) / h. The subject area pertains to algebraic manipulation and simplification of expressions involving square roots.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss the method of using the conjugate of the numerator to rationalize the expression. There is a mention of confusion regarding the expected answer and the results obtained by one participant.

Discussion Status

Some guidance has been provided regarding the use of the conjugate, but there appears to be a lack of consensus on the results, as one participant expresses uncertainty about matching the answer in the back of the book. Multiple interpretations of the rationalization process are being explored.

Contextual Notes

One participant notes a discrepancy between their result and the answer provided in the textbook, indicating potential misunderstandings or errors in the rationalization process.

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The question states

Rationalize each of the following numerators to obtain and equivalent expression.

(sqroot(h^2+5h+4) -2 ) / h

How do i rationalize the numerator here.

I don't remember

thanks
 
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Expand your fraction with the conjugate of the numerator.
 
thanks a million

i feel dumb
 
actually I am not gettin the answer that matches the back

the ans in the back says

(h+5) / (sqroot(h^2+5h+4) +2)



i get like (h^2+5h -4) / h^2
 
Careful about that conjugate!
You are to multiply your fraction with:
[tex]1=\frac{\sqrt{h^{2}+5h+4}+2}{\sqrt{h^{2}+5h+4}+2}[/tex]
 

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