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OpenStudy (anonymous):
Simplify: radical 18 divided by radical 15
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OpenStudy (anonymous):
\[\frac{ \sqrt{18} }{ \sqrt{15}}\]
OpenStudy (anonymous):
Yep that's the problem. :)
OpenStudy (anonymous):
You have to factor out the numbers! So factor 18 first...
OpenStudy (anonymous):
Well...I don't really know how
OpenStudy (anonymous):
factoring is basically listing the numbers that you multiply to get the main number..
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OpenStudy (anonymous):
so what two numbers multiply to get 18?
OpenStudy (anonymous):
2 and 9
OpenStudy (anonymous):
mhm...
OpenStudy (anonymous):
So what two numbers multiply to get 9?
OpenStudy (anonymous):
3 and 3
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OpenStudy (anonymous):
so 18 factored is 2*3*3
OpenStudy (anonymous):
so when simplfying radicals you find the numbers that are there twice. What number is in the list twice?
OpenStudy (anonymous):
3
OpenStudy (anonymous):
okay so you take that 3 and put it outside the radical so it becomes...\[3\sqrt{2}\]
OpenStudy (anonymous):
K well what about 15 because the numbers don't happen twice
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OpenStudy (anonymous):
Right so its simplified all the way already.
OpenStudy (anonymous):
Oh...Okay so now what?
OpenStudy (anonymous):
Its simplified!
OpenStudy (anonymous):
Oh um well my teacher gives us the answers and he put radical 30 divided by 5.
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OpenStudy (anonymous):
???
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