Mathematics
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OpenStudy (ana_98):
how do i simplify sqrt of P^7
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OpenStudy (ana_98):
sqrt of n/25?
OpenStudy (ana_98):
and sqrt of y^2 / 7
OpenStudy (ana_98):
which part?
OpenStudy (unknownunknown):
\[(P ^{7})^{1/2}\]
OpenStudy (ana_98):
i dont know how to work that out...sorry...
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OpenStudy (unknownunknown):
So we can multiply it out, to reach \[P ^{7/2}\]
OpenStudy (ana_98):
yes, that makes sense. its coming back to me now :)
OpenStudy (unknownunknown):
Okay =)
OpenStudy (ana_98):
shoot. so then would that be the answer or do we have to work it out even more?
OpenStudy (unknownunknown):
P^(7/2) looks simplified enough to me.
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OpenStudy (ana_98):
ok wow thanks! what i wanna know is how you got the p7 (1/2 )
OpenStudy (anonymous):
how many times does 2 go in to 7?
OpenStudy (anonymous):
because \[\huge p^{\frac{7}{2}}\] is not the answer you are looking for
OpenStudy (ana_98):
ok makes sense now :) thank you
OpenStudy (anonymous):
let me repeat my self
that is NOT the answer
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OpenStudy (ana_98):
yes i know haha
OpenStudy (anonymous):
\[\sqrt{p^7}=\sqrt{p^6\times p}=\sqrt{p^6}\sqrt{p}=p^3\sqrt{p}\] is the final answer
OpenStudy (anonymous):
more simply realized as "2 goes in to 7 3 times with a remainder of 1, so \(p^3\) comes outside the radial, \(p\) stays in
OpenStudy (ana_98):
oh okay thanks for verifying
OpenStudy (anonymous):
yw
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OpenStudy (ana_98):
so what if i had sqrt of n/25?
OpenStudy (ana_98):
@satellite73
OpenStudy (anonymous):
\[\huge \sqrt{\frac{n}{25}}\] like that?q
OpenStudy (ana_98):
yes :) @satellite73
OpenStudy (anonymous):
then since \(\sqrt{25}=5\) you have
\[\frac{\sqrt{n}}{5}\]
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OpenStudy (ana_98):
thats it? :p
OpenStudy (anonymous):
yup
OpenStudy (ana_98):
cool. last question is sqrt of y^2/7
OpenStudy (anonymous):
\[\huge \sqrt{y^{\frac{2}{7}}}\]?
OpenStudy (ana_98):
yes its y^2 on the top nad 7 on the bottom
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OpenStudy (ana_98):
*and
OpenStudy (ana_98):
@satellite73
OpenStudy (ana_98):
|dw:1432346973966:dw|
OpenStudy (anonymous):
oh i see
OpenStudy (anonymous):
\[\sqrt{y^2}=y\]so first step is
\[\frac{y}{\sqrt{7}}\]
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OpenStudy (anonymous):
then if you have to rationalize the denominator
\[\frac{y}{\sqrt{7}}\times \frac{\sqrt7}{\sqrt7}=\frac{y\sqrt7}{7}\]
OpenStudy (ana_98):
ok cool. thats always the confusing part... so would that be the answer? \[y \sqrt{7}/7 \]
OpenStudy (anonymous):
yes
OpenStudy (ana_98):
thanks !
OpenStudy (anonymous):
yw hope it helped
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OpenStudy (ana_98):
it did your very helpful :)