What is #(root3(a^2b^2)) sqrt(a^2b^3)# in simplified radical form?

1 Answer
Oct 7, 2017

Answer:

#color(red)(a)color(blue)(b^2)root6(color(red)(a^4)color(blue)(b)#

Explanation:

#color(red)(a^(2/3))timescolor(blue)(b^(2/3))timescolor(red)(a^(2/2))timescolor(blue)(b^(3/2)#

#color(red)(a^(2/3+2/2))timescolor(blue)(b^(2/3+3/2)#

#color(red)(a^((4+6)/6))timescolor(blue)(b^((4+9)/6)#

#color(red)(a^((10)/6))timescolor(blue)(b^((13)/6)#

#color(red)(root6(a^10) color(blue)(root6(b^13) #

#root6(color(red)(a^10color(blue)(b^13)#

#color(red)(a)color(blue)(b^2)root6(color(red)(a^4)color(blue)(b)#