How do you simplify \frac { 2- \sqrt { 12} } { 16}21216?

1 Answer
May 27, 2018

(2-sqrt12)/16=(1-sqrt3)/821216=138

Explanation:

(2-sqrt12)/1621216
=(2-sqrt(3*4))/16=23416
=(2-sqrt4sqrt3)/16=24316
=(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 !