How do you simplify $root3(10)/(root3(625))$ ?

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Answer 1 · 2016-12-22T20:59:06

$=root3(2)/5$

Find prime factors and combine the two roots into one.

$(root3(2xx5))/(root3(5xx5xx5xx5)) = root3((2xxcancel5)/(5xx5xx5xx5xxcancel5))$

$=root3(2/(5xx5xx5))$

Find the cube root where possible

$=root3(2)/5$

How do you simplify root3(10)/(root3(625))root3(10)/(root3(625))?