anonymous
  • anonymous
divide and rationalize 3+sqrt(18)/ 1+sqrt(8)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
hey, how's it going?
anonymous
  • anonymous
hi can you help me?
anonymous
  • anonymous
sure, first do you know how to simplify sqrt(18) and sqrt(8)?

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anonymous
  • anonymous
yes i simplified the problem to \[3+3\sqrt{2}/1+2\sqrt{2}\]
anonymous
  • anonymous
good!
anonymous
  • anonymous
when you have a square root in the denominator, to clean it up you have to multiply by something called the conjugate, which basically just means you change the sign of the square root term
anonymous
  • anonymous
i did that too.
anonymous
  • anonymous
so for this case, you would multiply it by (1-2sqrt(2))/(1-2(sqrt(2))
anonymous
  • anonymous
\[1-2\sqrt{2}\] right?
anonymous
  • anonymous
right, so did you multiply the top and bottom by that?
anonymous
  • anonymous
i did but i erased it.
anonymous
  • anonymous
but just foil right? i get the top part but the bottom confuses me.
anonymous
  • anonymous
what confuses you about the bottom part? what did you get for the top?
anonymous
  • anonymous
i got \[3-6\sqrt{2}+6\sqrt{2}-12\] simplified to -9
anonymous
  • anonymous
WHat hold on somyjing looks rwong
anonymous
  • anonymous
thats what i figured i got everything till the foiling part
anonymous
  • anonymous
bob how did you do this
anonymous
  • anonymous
2sqrt(2)*3sqrt(2) is what?
anonymous
  • anonymous
\[6\sqrt{2}\]
anonymous
  • anonymous
well no, that is 12, but you got that part right, your mistake was 3sqrt(2) * 1 i believe
anonymous
  • anonymous
oh your right... i thought i was going to be able to eliminate the roots in the middle...
anonymous
  • anonymous
you want to eliminate the roots on the bottom, that's why are we doing this. you don't have to eliminate the roots on the top.
anonymous
  • anonymous
\[3-6\sqrt{2}+3\sqrt{2}\] -12 right?
anonymous
  • anonymous
looks good for the top
anonymous
  • anonymous
i kept getting 1-8
anonymous
  • anonymous
looks good, so what's your end answer?
anonymous
  • anonymous
hold on i haven't solved it yet, thought you were going to say i was wrong.
anonymous
  • anonymous
where's your confidence? :)
anonymous
  • anonymous
not in my math capabilities thats for sure haha. \[-9-3\sqrt{2}/-7\]
anonymous
  • anonymous
okay so the numbers are right but my text book says all the nubmer are positive.
anonymous
  • anonymous
looks good, don't forget parentheses if you write it like you typed it, and you can multiply by -1/-1 and get rid of all the negatives if you want
anonymous
  • anonymous
parentheses? the ones used to foil? and okay thank you soo much your very helpful.
anonymous
  • anonymous
i was just saying the way you typed your answer, could be -9 - (3sqrt(2)/-7) which is not the same thing

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