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So you are given \(\sqrt{6}(6 + \sqrt{3})\) and are expected to simplify it, correct?
That is not exactly the complete simplification
The truth is is is not necessary to distribute \(\sqrt{2}\)
Do you agree that \(\sqrt{6}(6 + \sqrt{3}) = \sqrt{2 \dot\ 3}(6 + \sqrt{3})\)
And that \(\sqrt{2 \dot\ 3}(6 + \sqrt{3}) = \sqrt{2}\sqrt{3}(6 + \sqrt{3})\)
Yes.
At this point, it is useful to distribute the\(\sqrt{3}\)
What do you get after distributing \(\sqrt{3}\)?
√6(6 + √3) ?
Do you know what it means to distribute \(\sqrt{3}\)?
If you have \(a(b + c)\) and you distribute the a, you end up with \(ab + ac\)
Are you still there @Hero ?
Yes, I'm waiting for you to distribute \(\sqrt{3}\)
Wouldn't it just be √2(6 + √6)
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 \(6(2x + 3)\)?
nervermind i got the answer. thanks for helping
What do you believe is the correct answer and how did you get it?
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