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OpenStudy (accidentalaichan):
what is the product of 4 sqrt 6 * 8 sqrt 14?
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OpenStudy (solomonzelman):
\(\Large\color{darkgreen}{ 4\sqrt{6} \times 8\sqrt{14} }\)
\(\Large\color{darkgreen}{ 4 \times \sqrt{6} \times 8 \times \sqrt{14} }\)
\(\Large\color{darkgreen}{ 4 \times 8 \times \sqrt{14}\times \sqrt{6} }\)
\(\Large\color{darkgreen}{ 4 \times 8 \times \sqrt{14\times 6} }\)
OpenStudy (solomonzelman):
can you finish the problem ?
OpenStudy (accidentalaichan):
32 \[\sqrt{84}\]?
Now, simplify?
OpenStudy (solomonzelman):
\(\Large\color{darkgreen}{ 32 \sqrt{84} }\)
OpenStudy (solomonzelman):
You can actually simplify more,
\(\Large\color{darkgreen}{ \sqrt{84} =\sqrt{4} \times \sqrt{21} }\)
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OpenStudy (accidentalaichan):
Okay, I think it's \[64 \sqrt{42}\]
OpenStudy (solomonzelman):
\(\Large\color{red}{ \bf C }\)\(\Large\color{blue}{ \bf ORRECT ! }\)
OpenStudy (accidentalaichan):
Thanks for your help!
OpenStudy (solomonzelman):
Anytime.
OpenStudy (ipwnbunnies):
Nooo, wait. Don't you mean
\[64\sqrt{21}\]?
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OpenStudy (ipwnbunnies):
\[32 * \sqrt{4} * \sqrt{21}\]
\[32 * 2 * \sqrt{21}\]
\[64\sqrt{21}\]
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