How do you simplify # root3(8x^4y^5)#?

1 Answer
Jul 16, 2016

Answer:

#2xycolor(white)(.)root(3)(xy^2)#

Explanation:

Method: look for values you can write as cubed then take them outside the cube root

#8->2^2#
#x^4->x^3x#
#y^5->y^3y^2#

Write as:#" "root(3)(2^3x^3xy^3y^2)#

Taking the cubed values outside the root

#2xycolor(white)(.)root(3)(xy^2)#