# How do you rationalize the denominator and simplify #2/(5-sqrt3)#?

##### 1 Answer

Mar 28, 2016

#### Explanation:

#2/(5-sqrt(3))#

#=2/(5-sqrt(3))((5+sqrt(3))/(5+sqrt(3)))#

#=(10+2sqrt(3))/((5-sqrt(3))(5+sqrt(3))#

#=(10+2sqrt(3))/(25-3)#

#=(10+2sqrt(3))/22#

#=(2(5+sqrt(3)))/(2(11))#

#=(color(red)cancelcolor(black)2(5+sqrt(3)))/(color(red)cancelcolor(black)2(11))#

#=color(green)(|bar(ul(color(white)(a/a)(5+sqrt(3))/11color(white)(a/a)|)))#