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Mathematics 18 Online
OpenStudy (anonymous):

Am I right?

OpenStudy (anonymous):

\[5^3\sqrt{96}\] I believe the answer is \[2^3\sqrt{12}\]

hero (hero):

\[5^3\sqrt{96} = 5^3\sqrt{(16)(6)} = 5^3\sqrt{16}\sqrt{6}\] You should be able to finish simplifying from there.

OpenStudy (anonymous):

\[20^3\sqrt{6}\]

hero (hero):

That's not how you multiply the a cube times an integer. To properly multiply, expand the cube, then multiply \[5^3 = 125\] \[125 \times 4 = ?\]

OpenStudy (anonymous):

500...?

hero (hero):

Yes

OpenStudy (aravindg):

Hero helping theHero :)

hero (hero):

If you want, you can re-write it as \[5\times 10^2\]

OpenStudy (anonymous):

But--- It is asking for one f these: \[20^3\sqrt{6}\] \[10^3\sqrt{12}\] \[7^3\sqrt{12}\] or \[2^3\sqrt{12}\]

hero (hero):

I see. Well, we reduced it to an appropriate form. In this case, we may have to find an equivalent form.

OpenStudy (anonymous):

is the equivalent the first one?

hero (hero):

We already reduced it to sqrt(6) but we got 500 for the outside part. So that means you should rule out the first one.

hero (hero):

Okay, I just checked....NONE of the answer choices are correct. So what you'll need to do is double check to make sure your question matches the answer choices.

hero (hero):

Like make sure you didn't post answer choices for a different problem.

OpenStudy (anonymous):

Those are all the right answers that go with the questions---

OpenStudy (anonymous):

It might be that the answer choices you provided are not the correct ones for this question... might want to double check that.

hero (hero):

@some_someone , I already mentioned that.

OpenStudy (anonymous):

Yes I know that.

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