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

2 Answers
Jul 15, 2017

Answer:

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

Explanation:

#(6sqrt12)/(2sqrt3)#

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

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

= #(6xxcancel2xxcancelsqrt3)/(cancel2cancelsqrt3)#

= #6#

Jul 16, 2017

Answer:

#6#

Explanation:

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#