How do you simplify $root3(8/125)$ ?

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Answer 1 · 2015-09-21T14:16:51

$2/5$

You have
$root(3)(8/125)$

You should notice that:
$8=2^3$
and
$125=5^3$

Rewriting, you have
$root(3)((2^3)/(5^3))$

which becomes
$(root(3)(2^3))/(root(3)(5^3))$
$=2/5$

How do you simplify root3(8/125)root3(8/125)?