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Mathematics 7 Online
OpenStudy (anonymous):

Simplify each product.

OpenStudy (anonymous):

\[\frac{ 1 }{ 3 } \sqrt {6} \times \sqrt{24}\]

hartnn (hartnn):

factor 24

hartnn (hartnn):

and 6

OpenStudy (anonymous):

\[\sqrt {24}=2 \sqrt{6}\] and 6 can't be anymore.

hartnn (hartnn):

ok, whats \(\sqrt 6\ \times \sqrt 6 = ... ? \)

hartnn (hartnn):

\(\Large \sqrt x \times \sqrt x = x^{1/2} \times x^{1/2} = x^ {1/2+1/2} = x^1=x\)

OpenStudy (anonymous):

\[\sqrt {6} \times \sqrt {6}= \sqrt{36}=6\]

hartnn (hartnn):

correct

hartnn (hartnn):

1/3 * 2 * 6 = ..

OpenStudy (anonymous):

4

hartnn (hartnn):

alternate method \(\sqrt {24}\sqrt 6 = \sqrt {24\times 6} = \sqrt {144} = 12 \)

hartnn (hartnn):

4 is correct :)

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