Question

4 square root of 6 over square root of 2

Answer 1

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
$\frac{4 \sqrt{3}( \sqrt{2}) }{ \sqrt{2} }= (\frac{4 \sqrt{3}} {1} )( \frac{ \sqrt{2} }{ \sqrt{2} })= (\frac{4 \sqrt{3}} {1} )(1)=4 \sqrt{3}$