How do you simplify root3(88)3√88?

1 Answer
smendyka
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))n√a⋅b=n√a⋅n√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)3√88⇒3√8⋅11⇒3√8⋅3√11⇒23√11

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