anonymous
  • anonymous
can i get help with rational expression
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
schrodinger
  • schrodinger
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anonymous
  • anonymous
here it is
1 Attachment
mathstudent55
  • mathstudent55
You mean a rational expression.
mathstudent55
  • mathstudent55
A simplified rational fraction can't have radicals in the denominator.

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mathstudent55
  • mathstudent55
|dw:1356657899257:dw|
anonymous
  • anonymous
cross multiplication?
mathstudent55
  • mathstudent55
Now you need to look at all prime factors of 98 and twelve.
mathstudent55
  • mathstudent55
No, we're just simplifying, one step at a time.
mathstudent55
  • mathstudent55
What are the prime factors of 98 and of 12?
anonymous
  • anonymous
7 7 2 and 3 2 2
mathstudent55
  • mathstudent55
Great. Every two of the same factor can be taken out of the root.
anonymous
  • anonymous
so 7 2 and 3 2
mathstudent55
  • mathstudent55
|dw:1356658078286:dw|
mathstudent55
  • mathstudent55
|dw:1356658116825:dw|
mathstudent55
  • mathstudent55
As 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
  • anonymous
what would i do to remove it?
mathstudent55
  • mathstudent55
|dw:1356658236596:dw|
mathstudent55
  • mathstudent55
We 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
  • anonymous
@mathstudent55 times it self?
mathstudent55
  • mathstudent55
Right. If you multiply sqrt(3) by sqrt(3), you get sqrt(9) = 3, so you don't have a radical any more.
anonymous
  • anonymous
so my denominator would be 18?
mathstudent55
  • mathstudent55
Now 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?
anonymous
  • anonymous
multiply by the same
mathstudent55
  • mathstudent55
Exactly. So now look at the next drawing:
mathstudent55
  • mathstudent55
|dw:1356658755142:dw|
mathstudent55
  • mathstudent55
sqrt(9) is simply a whole number. That was the whole purpose of multiplying the denominator by sqrt(3)
anonymous
  • anonymous
wait what do you mean do i just get\[18\] as my denominator?
mathstudent55
  • mathstudent55
You have 2 * sqrt(9) in the denominator. What is sqrt(9)?
anonymous
  • anonymous
3
mathstudent55
  • mathstudent55
Right. So now you have this: |dw:1356658960784:dw|
mathstudent55
  • mathstudent55
One more step.
anonymous
  • anonymous
6 is the denominator
mathstudent55
  • mathstudent55
Correct!
mathstudent55
  • mathstudent55
|dw:1356659058827:dw|
mathstudent55
  • mathstudent55
This is considered simplified.
anonymous
  • anonymous
thank you for the help
mathstudent55
  • mathstudent55
You're welcome.

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