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Algebra
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@DanJS
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hi
\[\sqrt{\frac{ 24 }{ 18 }}\] hi lol would this be \[\frac{ 2*\sqrt{3} }{ 3 }\]
\[\sqrt{\frac{ a }{ b }} = \frac{ \sqrt{a} }{ \sqrt{b} }\]
\[\frac{ \sqrt{24} }{ \sqrt{18} }\]
\[\sqrt{24} = \sqrt{6 * 4 } = \sqrt{6}\sqrt{4} = 2\sqrt{6}\]
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\[\sqrt{18} = \sqrt{9*2} = \sqrt{9}\sqrt{2}= 3\sqrt{2} \]
oh, yeah just multiply top and bottom by \[\sqrt{18}\]
\[\frac{ 4*\sqrt{6} }{ 3*\sqrt{2} }\]
\[\sqrt{24}\sqrt{18} = \sqrt{24*18} \]
Ok
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= \[\sqrt{144 * 3} = 12\sqrt{3}\]
and the bottom \[\sqrt{18}\sqrt{18} = 18\] so \[\frac{ 12\sqrt{3} }{ 18 }\]
or \[\frac{ 2\sqrt{3} }{ 3 }\]
\[\frac{ \sqrt{24} }{ \sqrt{18} }=\frac{ 2\sqrt{3} }{ 3 }\]
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