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Mathematics 16 Online
OpenStudy (anonymous):

simplifying

OpenStudy (anonymous):

\[\sqrt[3]{45}\]

OpenStudy (anonymous):

and i think i got

OpenStudy (anonymous):

\[\sqrt[9]{5}\]

OpenStudy (anonymous):

is that right?

OpenStudy (callisto):

Nope, not really...

OpenStudy (anonymous):

:( hmmm

OpenStudy (anonymous):

\[\sqrt[5]{15}\]

OpenStudy (anonymous):

i'm not sure..

OpenStudy (callisto):

\[\sqrt[3]{45} = \sqrt[3]{3\times 3\times 5}\]Agree?

OpenStudy (anonymous):

\[\sqrt[15]{9}\]

OpenStudy (anonymous):

am i right??

OpenStudy (callisto):

@noah_ochoa No, 9^1/3 ≠ 3 @marleybrown Nope :(

OpenStudy (anonymous):

hmm.. i got \[\sqrt[5]{15}\] again

OpenStudy (callisto):

Not really. The exponent won't change ..

OpenStudy (anonymous):

can you help me figure it out?@Callisto

OpenStudy (anonymous):

@Callisto

OpenStudy (callisto):

I'm helping.... \[\sqrt[3]{45} = \sqrt[3]{3\times 3\times 5}\]Agree?

OpenStudy (anonymous):

ya:)

OpenStudy (callisto):

So, when you split it, you'll get \[\sqrt[3]{3^2} \times \sqrt[3]{5}\] Agree?

OpenStudy (anonymous):

hmm.. ya:)

OpenStudy (callisto):

But then, you can see that there's no way to simplify it... understand?

OpenStudy (anonymous):

oh alright:)

OpenStudy (anonymous):

I think that is in the simplified form..

OpenStudy (callisto):

So, actually, \(\sqrt[3]{45}\) cannot be further simplified... Got it?

OpenStudy (anonymous):

got it! sorry my internet died..

OpenStudy (anonymous):

thank you

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