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anonymous
 one year ago
Rationalize the numerator:
anonymous
 one year ago
Rationalize the numerator:

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[(\sqrt{x}  \sqrt{x+h}) / h \]

freckles
 one year ago
Best ResponseYou've already chosen the best response.1multiply top and bottom by conjugate of top

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I understand how to do it. You get 1 for the top, but not sure of the bottom.

freckles
 one year ago
Best ResponseYou've already chosen the best response.1\[\frac{\sqrt{x}\sqrt{x+h}}{h} \cdot \frac{\sqrt{x}+\sqrt{x+h}}{\sqrt{x}+\sqrt{x+h}}\]

freckles
 one year ago
Best ResponseYou've already chosen the best response.1you get 1 on top before or after canceling common factors after the multiplication part

freckles
 one year ago
Best ResponseYou've already chosen the best response.1and that was a question

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I know the answer for the bottom is \[\sqrt{x} + \sqrt{x+h}\] but how do you get that with the multiplied h?

freckles
 one year ago
Best ResponseYou've already chosen the best response.1\[\frac{(x)(x+h)}{h(\sqrt{x}+\sqrt{x+h})}\] you do understand we have h/h=1 right?

freckles
 one year ago
Best ResponseYou've already chosen the best response.1so what is the question exactly

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0How does it work out for the bottom?

freckles
 one year ago
Best ResponseYou've already chosen the best response.1after using h/h=1 you are left with sqrt(x)+sqrt(x+h) there is nothing else to do unless you have a limit question here

freckles
 one year ago
Best ResponseYou've already chosen the best response.1sqrt(x)+sqrt(x+h) on the bottom*

freckles
 one year ago
Best ResponseYou've already chosen the best response.1\[\frac{(x)(x+h)}{h(\sqrt{x}+\sqrt{x+h})}=\frac{h}{h} \frac{1}{\sqrt{x}+\sqrt{x+h}}\]
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