How do you simplify #³sqrt(24w^2)# divided by #³sqrt(3w^4)#?

1 Answer
Alan P.
Mar 24, 2015

Remember that if you have roots with the same exponent their arguments can be divided under a root with that exponent.
That is
#root(a)(b)/root(a)(c) = root(a)(b/c)#

For this particular example
#root(3)(24w^2)/root(3)(3w^4)#

#= root(3)((24w^2)/(3w^4))#

#= root(3)(8/w^2)#

#= 2 root(3)(1/w^2)#

#= 2/root(3)(w^2)#

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