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Simplify each product.
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\[\frac{ 1 }{ 3 } \sqrt {6} \times \sqrt{24}\]
factor 24
and 6
\[\sqrt {24}=2 \sqrt{6}\] and 6 can't be anymore.
ok, whats \(\sqrt 6\ \times \sqrt 6 = ... ? \)
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\(\Large \sqrt x \times \sqrt x = x^{1/2} \times x^{1/2} = x^ {1/2+1/2} = x^1=x\)
\[\sqrt {6} \times \sqrt {6}= \sqrt{36}=6\]
correct
1/3 * 2 * 6 = ..
4
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alternate method \(\sqrt {24}\sqrt 6 = \sqrt {24\times 6} = \sqrt {144} = 12 \)
4 is correct :)
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