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Mathematics 15 Online
DivineSolar (divinesolar):

Last question. Posted below

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 \[3+\frac{ 3 }{ 2 }\]

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

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

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.

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 \[\sqrt{27}=\sqrt{9\times 3}=\sqrt3\sqrt3=3\sqrt3\]

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):

\[2 \sqrt{27}\]

DivineSolar (divinesolar):

\[2 \sqrt{9}\]

DivineSolar (divinesolar):

Those are the choices

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