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anonymous
 4 years ago
Simplify the following radicals by rationalizing the denominators.
anonymous
 4 years ago
Simplify the following radicals by rationalizing the denominators.

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anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0one sec i am posting it.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0\[ \frac{xy}{\sqrt{x}+\sqrt{y}} \]

2bornot2b
 4 years ago
Best ResponseYou've already chosen the best response.2\[\frac{xy}{\sqrt{x}+\sqrt{y}}\]\[\frac{xy}{\sqrt{x}+\sqrt{y}}\times\frac{\sqrt{x}\sqrt{y}}{\sqrt{x}\sqrt{y}}\]

2bornot2b
 4 years ago
Best ResponseYou've already chosen the best response.2Now multiply those, you will have removed the radical sign from the denominator.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0how do i multiply them?

2bornot2b
 4 years ago
Best ResponseYou've already chosen the best response.2dw:1328019438214:dw

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Then i simplify? or no?

2bornot2b
 4 years ago
Best ResponseYou've already chosen the best response.2Actually you don't need to multiply the numerator, \[\frac{\cancel{(xy)}({\sqrt{x}\sqrt{y}})}{\cancel{xy}}\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0So all you have to do is multiply the denominator and that will be the answer?

2bornot2b
 4 years ago
Best ResponseYou've already chosen the best response.2In all similar problems as this one, just multiply the numerator and the denominator with the conjugate of the denominator, just as I did. And then you need to simplify. But in this problem, one of the terms of the numerator gets cancelled. Did you understand?

2bornot2b
 4 years ago
Best ResponseYou've already chosen the best response.2Did I puzzle you? Should I write down the whole thing again, in a concise way?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0You puzzled me sorry haha :/ I am terrible at math.

2bornot2b
 4 years ago
Best ResponseYou've already chosen the best response.2Ok, then I am writing down the whole thing in a better way....

2bornot2b
 4 years ago
Best ResponseYou've already chosen the best response.2You were given with the following expression \[\frac{xy}{\sqrt{x}+\sqrt{y}}\] right?

2bornot2b
 4 years ago
Best ResponseYou've already chosen the best response.2Now I multiply both the numerator and the denominator with the conjugate of the dimnomnator i.e. \[\sqrt{x}\sqrt{y}\] So the expression gets converted to \[\frac{xy}{\sqrt{x}+\sqrt{y}}\times\frac{\sqrt{x}\sqrt{y}}{\sqrt{x}\sqrt{y}}\]

2bornot2b
 4 years ago
Best ResponseYou've already chosen the best response.2Is it clear till this step? I can multiply something to the numerator and as well as to the denominator since they can be cancelled Is it clear?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Yes it is clear. I just do not know how to multiply correctly?

2bornot2b
 4 years ago
Best ResponseYou've already chosen the best response.2So now I can say \[\frac{xy}{\sqrt{x}+\sqrt{y}}\times\frac{\sqrt{x}\sqrt{y}}{\sqrt{x}\sqrt{y}}\]\[=\frac{(xy)({\sqrt{x}\sqrt{y}})}{\sqrt{(x)^2}+\sqrt{(y)^2}}\]\[=\frac{\cancel{(xy)}({\sqrt{x}\sqrt{y}})}{\cancel{xy}}\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0so the answer is the last part of that problem?

2bornot2b
 4 years ago
Best ResponseYou've already chosen the best response.2The answer is \[\sqrt{x}\sqrt{y}\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0oh sorry didn't mean to put () and that is simpler then it looks i guess i was just over thinking it.
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