Rationalize Problem

Irenes25

New member
Joined
Jan 16, 2006
Messages
1
I need some help with this problem. I am stuck......

Rationalize the numerator or denominator and simplify

x
-------
sqrt x-4

If someone could please help me I would really appreciate it.

Thank you...
 
First, please make sure that you post in the correct forum. Don't think that by posting in the highest level math forum that you will recieve the greatest amount of attention.

Second, please use either LaTeX or liberal use of brackets, because as it stands right now, your question is ambiguous.

Did you mean:

\(\displaystyle \frac{x}{{\sqrt {x - 4} }}\)

Or how about:

\(\displaystyle \frac{x}{{\sqrt x - 4}}\)

It makes a huge difference with regard to the answer.

And finally, please show the work that you have done in your attempt of this problem. It is impossible for us to read your mind, so in order to assist your learning we must see where your error was made so we can correct and guide you to a solution.
 
Irenes25 said:
I need some help with this problem. I am stuck......

Rationalize the numerator or denominator and simplify

x
-------
sqrt x-4

If someone could please help me I would really appreciate it.

Thank you...
To rationalise (that is, to move the surd in the denominator to the numerator of) \(\displaystyle \mbox{\frac{x}{\sqrt{x - 4}}\), multiply by \(\displaystyle \mbox{\frac{\sqrt{x - 4}}{\sqrt{x - 4}}}\)

To rationalise \(\displaystyle \mbox{\frac{x}{\sqrt{x} - 4}}\), multiply by \(\displaystyle \mbox{\frac{\sqrt{x} + 4}{\sqrt{x} + 4}}\).

Neither is necessarily simplified, however.
 
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