Question 963315
Write the following in simplified form by rationalizing the denominator. Assume all variables represent positive numbers.

1. sqrt ((125a^3)/(3b))
My answer was 5 sqrt(5/3) sqrt(a^3/b), but it was incorrect.
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Fractions in radicals are not allowed.
{{{5 sqrt(5/3)*sqrt(a^3/b)}}}
= {{{5 sqrt(15/9)*sqrt(a^2*ab/b^2)}}}
= {{{(5/3)sqrt(15)*(a/b)*sqrt(a)}}}
= {{{(5a/3b)*sqrt(15a)}}}