How do you simplify $\frac { 6\sqrt { 12} } { 2\sqrt { 3} }$ ?

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Answer 1 · 2017-07-15T15:05:07

$(6sqrt12)/(2sqrt3)=6$

$(6sqrt12)/(2sqrt3)$

= $(6sqrt(color(blue)(2xx2)xx3))/(2sqrt3)$

= $((6xxcolor(blue)2xxsqrt3))/(2sqrt3)$

= $(6xxcancel2xxcancelsqrt3)/(cancel2cancelsqrt3)$

= $6$

Answer 2 · 2017-07-16T18:45:20

$6$

When you are multiplying or dividing square roots (or other equal roots) you can combine two roots into one.

$(cancel6^3xxcolor(blue)(sqrt12))/(cancel2xxcolor(blue)(sqrt3))$

$= 3color(blue)(sqrt(12/3))$

$= 3color(blue)(sqrt4)$

$= 3xx2$

$=6$

How do you simplify \frac { 6\sqrt { 12} } { 2\sqrt { 3} }\frac { 6\sqrt { 12} } { 2\sqrt { 3} }?