How do you rationalize the denominator and simplify #3/(2+sqrt12)#?

Question

949 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-04-23T06:31:06

#3/(sqrt12+2)=3/(sqrt12+2)xx(sqrt12-2)/(sqrt12-2)#
#=(3sqrt(2^2xx3)-6)/(12-2)=(6sqrt3-6)/10=6/10xx(sqrt3-1)#
#=3/5xx(sqrt3-1)#