How do you simplify #root3(88)#?

1 Answer
Jun 23, 2018

See a solution process below:

Explanation:

Use this rule for radicals to simplify the expression:

#root(n)(color(red)(a) * color(blue)(b)) = root(n)(color(red)(a)) * root(n)(color(blue)(b))#

#root(3)(88) => root(3)(color(red)(8) * color(blue)(11)) => root(3)(color(red)(8)) * root(3)(color(blue)(11)) => 2root(3)(11)#