# How do you simplify #9/root3(36)#?

##### 1 Answer

Mar 15, 2016

#### Explanation:

#9/root(3)(36)#

#=9/root(3)(36)(root(3)(6)/root(3)(6))#

#=(9root(3)(6))/root(3)(36*6)#

#=(9root(3)(6))/root(3)(216)#

#=(9root(3)(6))/6#

#=(color(red)cancelcolor(black)9^3root(3)(6))/color(red)cancelcolor(black)6^2#

#=color(green)(|bar(ul(color(white)(a/a)(3root(3)(6))/2color(white)(a/a)|)))#