How do you simplify #\frac { 2- \sqrt { 12} } { 16}#?

1 Answer
Guillaume L.
May 27, 2018

#(2-sqrt12)/16=(1-sqrt3)/8#

Explanation:

#(2-sqrt12)/16#
#=(2-sqrt(3*4))/16#
#=(2-sqrt4sqrt3)/16#
#=(2-sqrt(2²)sqrt3)/16#
#=(2-2sqrt3)/16#
#=(color(red)(cancel(color(black) (2)))*(1-sqrt3))/(color(red) (cancel(color(black)(2)))*8)#
#=(1-sqrt3)/8#
\0/ here's our answer !

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