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