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For the entire radical v125x^3, state the restrictions on the variable. Then express as a mixed radical

For the entire radical √125x^3, state the restrictions on the variable. Then express as a mixed radical
 
my work:

=√5x * 5x * 5x

=5√5x

Restriction x ≥ 0, x ∈ R
 
What did I do wrong? 
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1 Answer

f(x) =√(125 X^3)
 
    √( 125X^3 )≥ 0.
 
    5 X √(5 X ) ,   5X≥0. , X ≥0   / square roots are denied only for positive numbers.