How do you simplify $root(3)(-1080)$ ?

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Answer 1 · 2018-03-07T00:26:12

See a solution process below:

We can rewrite this expression as:

$root(3)(-8 xx 27 xx 5)$

We can then use this rule for radicals to simplify the expression:

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

$root(3)(color(red)(-8) * color(blue)(27) * 5) =>$

$root(3)(color(red)(-8)) * root(3)(color(blue)(27)) * root(3)(5) =>$

$-2 * 3 * root(3)(5) =>$

$-6root(3)(5)$

How do you simplify root(3)(-1080)root(3)(-1080)?