How do you simplify #\root (3) (648)#?

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Answer 1 · 2017-11-13T03:03:18

See a solution process below:

First, rewrite the expression as:

#root(3)(8 * 27 * 3) => root(3)(2^3 * 3^3 * 3)#

Now, use this rule of 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)(2^3 * 3^3 * 3) =>#

#root(3)(2^3) * root(3)(3^3) * root(3)(3) =>#

#2 * 3 * root(3)(3) =>#

#6root(3)(3)#