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OpenStudy (anonymous):
\[\sqrt{500}\]
OpenStudy (goldphenoix):
Which factor of 500 is a perfect square?
OpenStudy (anonymous):
sorry comp froze
OpenStudy (anonymous):
um 10 x 50?
OpenStudy (anonymous):
hello
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OpenStudy (raden):
set 500 = 100 * 5
OpenStudy (anonymous):
oh so i was kindve on the right track
OpenStudy (raden):
see how to simplify this
sqrt(500) = sqrt(100 * 5)
then use the property :
sqrt(a * b) = sqrt(a) * sqrt(b)
so,
sqrt(100 * 5) = sqrt(100) * sqrt(5) = 10 sqrt(5)
OpenStudy (anonymous):
is the answer\[\sqrt[5]{10}\]
OpenStudy (anonymous):
oh so its the other way around \[\sqrt[10]{5}\]
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OpenStudy (anonymous):
thanks
OpenStudy (raden):
no, that's different. just 10 * sqrt(5)
|dw:1374509974135:dw|
OpenStudy (anonymous):
its not the same check mark i was just using it because it look simliar
OpenStudy (goldphenoix):
My bad. I was afk. >_<
OpenStudy (anonymous):
afk?
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OpenStudy (goldphenoix):
Away From Keyboard.
OpenStudy (anonymous):
lol oooohhhhh im sorry im old i dont know what what means anymore my niece text me with smh and im like HUH and she like skaing my head i was like wow im old
OpenStudy (goldphenoix):
Anyway, 100 is a factor of 500, and is also a perfect square.
What number mulitply by 100 will give you 500? It's obvious 5.
So it would look like: \[\large \large \sqrt{100 \times 5}\] So what is the square root of 100? 10. Therefore, 10^2 = 100.
So you would move the root of the perfect square out from under the radical sign. \[\large \large \sqrt{500} = \sqrt{100\times5} = 10\sqrt{5}\]