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Mathematics 16 Online
OpenStudy (anonymous):

Please Help

hero (hero):

Would you like help with your question?

hero (hero):

So you are given \(\sqrt{6}(6 + \sqrt{3})\) and are expected to simplify it, correct?

hero (hero):

That is not exactly the complete simplification

hero (hero):

The truth is is is not necessary to distribute \(\sqrt{2}\)

hero (hero):

Do you agree that \(\sqrt{6}(6 + \sqrt{3}) = \sqrt{2 \dot\ 3}(6 + \sqrt{3})\)

hero (hero):

And that \(\sqrt{2 \dot\ 3}(6 + \sqrt{3}) = \sqrt{2}\sqrt{3}(6 + \sqrt{3})\)

OpenStudy (anonymous):

Yes.

hero (hero):

At this point, it is useful to distribute the\(\sqrt{3}\)

hero (hero):

What do you get after distributing \(\sqrt{3}\)?

OpenStudy (anonymous):

√6(6 + √3) ?

hero (hero):

Do you know what it means to distribute \(\sqrt{3}\)?

hero (hero):

If you have \(a(b + c)\) and you distribute the a, you end up with \(ab + ac\)

OpenStudy (anonymous):

Are you still there @Hero ?

hero (hero):

Yes, I'm waiting for you to distribute \(\sqrt{3}\)

OpenStudy (anonymous):

Wouldn't it just be √2(6 + √6)

hero (hero):

Not exactly. If you distribute \(\sqrt{3}\) you should have gotten \(\sqrt{2}(6\sqrt{3} + \sqrt{3}\sqrt{3})\). I'm surprised. Do you know how to distribute the 6 in \(6(2x + 3)\)?

OpenStudy (anonymous):

nervermind i got the answer. thanks for helping

hero (hero):

What do you believe is the correct answer and how did you get it?

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