Question

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

Answer 1

`(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 !