Mathematics
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OpenStudy (anonymous):
simplifying
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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...
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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):
\[\sqrt[15]{9}\]
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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
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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:)
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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..
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OpenStudy (anonymous):
thank you