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Mathematics
OpenStudy (anonymous):

simplify

OpenStudy (anonymous):

\[4\sqrt{3}(\sqrt{5}-4\sqrt{6})\]

OpenStudy (mertsj):

Use the distributive property. Multiply the coefficients and multiply the radicands. Then simplify any radicands that contain perfect square factors.

OpenStudy (anonymous):

how do you do that

OpenStudy (mertsj):

What is: \[4\sqrt{3}\times \sqrt{5}\]

OpenStudy (anonymous):

\[4\sqrt{15}\]

OpenStudy (mertsj):

Yes.

OpenStudy (mertsj):

What is: \[4\sqrt{3}\times4\sqrt{6}\]

OpenStudy (anonymous):

\[16\sqrt{24}\]

OpenStudy (mertsj):

3 times 6 is not 24

OpenStudy (anonymous):

\[16\sqrt{18}\]

OpenStudy (mertsj):

So now you have: \[4\sqrt{15}-16\sqrt{18}\]

OpenStudy (mertsj):

\[\sqrt{18}=\sqrt{9(2)}\]

OpenStudy (mertsj):

So finish by simplifying.

OpenStudy (mertsj):

You will get: \[4\sqrt{15}-48\sqrt{2}\]

OpenStudy (anonymous):

is that the answer?

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