4 square root of 6 means 4 times [tex] \sqrt{6} [/tex]
so the equation is[tex] \frac{4 \sqrt{6} }{ \sqrt{2} } [/tex]
we can simplify this as a fraction
remember that [tex] \sqrt{xy}= (\sqrt{x}) (\sqrt{y}) [/tex] so
[tex]4 \sqrt{6}=4( \sqrt{3})( \sqrt{2}) [/tex] so it is now
[tex] \frac{4 \sqrt{3}( \sqrt{2}) }{ \sqrt{2} }= (\frac{4 \sqrt{3}} {1} )( \frac{ \sqrt{2} }{ \sqrt{2} })= (\frac{4 \sqrt{3}} {1} )(1)=4 \sqrt{3}[/tex]
