Rationalizing Denominators

[pieldevereda]

Hi, I can 't resolve this exercise



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I have the result, but i don 't why is that

Thanks

Regards

[stapel_eliz]

I have the result, but i don 't why is that

To learn how to rationalize denominators, try here.

Note: You might find it helpful to simplify the denominator first. Then cancel, and then rationalize.

[bill_milstead]

Hello, to rationalize the denominator, you want to get rid of the radical at the bottom by mulitplying the top and the bottom by "1". The key to this problem is to notice the index of "6". If you attempted to solve it by using just the with an index of "2" you would get a different answer.

Let's first get our number "1"

=

* =

Now we need to rationalize the denominator

=

The last step is to simplify the answer

=

Divide out the "y" and you should end up with your answer.



Hope this helps.

[bill_milstead]

Oops...my bad, I should have given hints and not shown the whole problem. Sorry about that. I'm new on here and won't do that again. Though, there is typically more than one way to solve a problem. I highly encourage you to attempt simplifying the problem first and then solving it.

[pieldevereda]

Hi stapel_eliz and bill_milstead, thank you for your answers, really thank you very very much!!
Regards