Mathematics
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DivineSolar (divinesolar):
Last question. Posted below
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DivineSolar (divinesolar):
What is\[\huge 3 \frac{ 3 }{ 2 } \] equal to?
OpenStudy (anonymous):
kind of an open ended question
DivineSolar (divinesolar):
Hmm?
OpenStudy (anonymous):
it is plus, times, exponent what?
OpenStudy (anonymous):
What is \[3+\frac{ 3 }{ 2 }\]
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OpenStudy (anonymous):
\[3+\frac{3}{2}\\
3\times \frac{3}{2}\\
3^{\frac{3}{2}}\]?
DivineSolar (divinesolar):
\[3 \sqrt{27} which can be simplified \to 3 \sqrt{9}?\]
OpenStudy (anonymous):
so the 3/2 is an exponent?
DivineSolar (divinesolar):
Yes.
OpenStudy (anonymous):
then no not 9 in there, just 3
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DivineSolar (divinesolar):
You sure. My question has 3 answers but has 3/2 as exponent.
OpenStudy (anonymous):
\[\frac{3}{2}=1\tfrac{1}{2}\]
\[3^{1\tfrac{1}{2}}=3^13^{\frac{1}{2}}=3\sqrt3\]
DivineSolar (divinesolar):
\[3\sqrt{3} \]
DivineSolar (divinesolar):
Isnt a choice
DivineSolar (divinesolar):
But
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OpenStudy (anonymous):
then the question isnt
\[\huge 3^{\frac{3}{2}}\]
DivineSolar (divinesolar):
\[3\sqrt{9}\]
DivineSolar (divinesolar):
Thats literally what it says.
OpenStudy (anonymous):
ok then lets go slow
DivineSolar (divinesolar):
what is that equal to is the question.
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OpenStudy (anonymous):
\[3^3=27\] right ?
DivineSolar (divinesolar):
Yes ^_^
OpenStudy (anonymous):
so
\[3^{\frac{3}{2}}=\sqrt{27}\]yes?
DivineSolar (divinesolar):
Uh i believe so.
OpenStudy (anonymous):
and so
\[\sqrt{27}=\sqrt{9\times 3}=\sqrt3\sqrt3=3\sqrt3\]
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DivineSolar (divinesolar):
Yes i dont understand why that is not a choice.
DivineSolar (divinesolar):
Choices are
DivineSolar (divinesolar):
\[3 \sqrt{27}\]
DivineSolar (divinesolar):
\[3 \sqrt{9}\]
DivineSolar (divinesolar):
\[2 \sqrt{27}\]
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DivineSolar (divinesolar):
\[2 \sqrt{9}\]
DivineSolar (divinesolar):
Those are the choices