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#