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Algebra 10 Online
OpenStudy (anonymous):

@DanJS

OpenStudy (danjs):

hi

OpenStudy (anonymous):

\[\sqrt{\frac{ 24 }{ 18 }}\] hi lol would this be \[\frac{ 2*\sqrt{3} }{ 3 }\]

OpenStudy (danjs):

\[\sqrt{\frac{ a }{ b }} = \frac{ \sqrt{a} }{ \sqrt{b} }\]

OpenStudy (danjs):

\[\frac{ \sqrt{24} }{ \sqrt{18} }\]

OpenStudy (danjs):

\[\sqrt{24} = \sqrt{6 * 4 } = \sqrt{6}\sqrt{4} = 2\sqrt{6}\]

OpenStudy (danjs):

\[\sqrt{18} = \sqrt{9*2} = \sqrt{9}\sqrt{2}= 3\sqrt{2} \]

OpenStudy (danjs):

oh, yeah just multiply top and bottom by \[\sqrt{18}\]

OpenStudy (anonymous):

\[\frac{ 4*\sqrt{6} }{ 3*\sqrt{2} }\]

OpenStudy (danjs):

\[\sqrt{24}\sqrt{18} = \sqrt{24*18} \]

OpenStudy (anonymous):

Ok

OpenStudy (danjs):

= \[\sqrt{144 * 3} = 12\sqrt{3}\]

OpenStudy (danjs):

and the bottom \[\sqrt{18}\sqrt{18} = 18\] so \[\frac{ 12\sqrt{3} }{ 18 }\]

OpenStudy (danjs):

or \[\frac{ 2\sqrt{3} }{ 3 }\]

OpenStudy (danjs):

\[\frac{ \sqrt{24} }{ \sqrt{18} }=\frac{ 2\sqrt{3} }{ 3 }\]

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