Ask your own question, for FREE!
Mathematics 7 Online
OpenStudy (anonymous):

simplify the radical expression

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

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 \[\sqrt[10]{5}\]

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?

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. \[\large \large \sqrt{500} = \sqrt{100\times5} = 10\sqrt{5}\]

OpenStudy (anonymous):

thats the check i was trying to make lol thank u

OpenStudy (goldphenoix):

No problem. :)

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!