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anonymous
 3 years ago
can i get help with rational expression
anonymous
 3 years ago
can i get help with rational expression

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mathstudent55
 3 years ago
Best ResponseYou've already chosen the best response.1You mean a rational expression.

mathstudent55
 3 years ago
Best ResponseYou've already chosen the best response.1A simplified rational fraction can't have radicals in the denominator.

mathstudent55
 3 years ago
Best ResponseYou've already chosen the best response.1dw:1356657899257:dw

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0cross multiplication?

mathstudent55
 3 years ago
Best ResponseYou've already chosen the best response.1Now you need to look at all prime factors of 98 and twelve.

mathstudent55
 3 years ago
Best ResponseYou've already chosen the best response.1No, we're just simplifying, one step at a time.

mathstudent55
 3 years ago
Best ResponseYou've already chosen the best response.1What are the prime factors of 98 and of 12?

mathstudent55
 3 years ago
Best ResponseYou've already chosen the best response.1Great. Every two of the same factor can be taken out of the root.

mathstudent55
 3 years ago
Best ResponseYou've already chosen the best response.1dw:1356658078286:dw

mathstudent55
 3 years ago
Best ResponseYou've already chosen the best response.1dw:1356658116825:dw

mathstudent55
 3 years ago
Best ResponseYou've already chosen the best response.1As you mentioned, the 7 came out in the numerator, and the 2 came out in the denominator. But we still have a radical in the denominator which we can't leave there.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0what would i do to remove it?

mathstudent55
 3 years ago
Best ResponseYou've already chosen the best response.1dw:1356658236596:dw

mathstudent55
 3 years ago
Best ResponseYou've already chosen the best response.1We are going to use both of the above ideas to remove the radical from the denominator. First look at the denominator. What do you need to multiply the radical of the denominator to get rid of the radical? See example 1 above in drawing.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0@mathstudent55 times it self?

mathstudent55
 3 years ago
Best ResponseYou've already chosen the best response.1Right. If you multiply sqrt(3) by sqrt(3), you get sqrt(9) = 3, so you don't have a radical any more.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0so my denominator would be 18?

mathstudent55
 3 years ago
Best ResponseYou've already chosen the best response.1Now you need to look at example 2. in the drawing. If you multiply the denominator of the fraction by sqrt(3) what must you do to the numerator?

mathstudent55
 3 years ago
Best ResponseYou've already chosen the best response.1Exactly. So now look at the next drawing:

mathstudent55
 3 years ago
Best ResponseYou've already chosen the best response.1dw:1356658755142:dw

mathstudent55
 3 years ago
Best ResponseYou've already chosen the best response.1sqrt(9) is simply a whole number. That was the whole purpose of multiplying the denominator by sqrt(3)

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0wait what do you mean do i just get\[18\] as my denominator?

mathstudent55
 3 years ago
Best ResponseYou've already chosen the best response.1You have 2 * sqrt(9) in the denominator. What is sqrt(9)?

mathstudent55
 3 years ago
Best ResponseYou've already chosen the best response.1Right. So now you have this: dw:1356658960784:dw

mathstudent55
 3 years ago
Best ResponseYou've already chosen the best response.1dw:1356659058827:dw

mathstudent55
 3 years ago
Best ResponseYou've already chosen the best response.1This is considered simplified.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0thank you for the help
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