How do you simplify #sqrt45/(4sqrt81)#?
1 Answer
Mar 15, 2016
Explanation:
#sqrt(45)/(4sqrt(81))#
#=sqrt(45)/(4sqrt(81))(sqrt(81)/sqrt(81))#
#=sqrt(45*81)/(4(sqrt(81)sqrt(81)))#
#=sqrt(3645)/(4(81))#
#=sqrt(3645)/324#
#=sqrt(27^2*5)/324#
#=(27sqrt(5))/324#
#=(color(red)cancelcolor(black)27^1sqrt(5))/color(red)cancelcolor(black)324^12#
#=color(green)(|bar(ul(color(white)(a/a)sqrt(5)/12color(white)(a/a)|)))#