Answer
$\sqrt (ab)$
Work Step by Step
$\sqrt[10] (a^{5}b^{5})=(a^{5}b^{5})^{\frac{1}{10}}=a^{\frac{5}{10}}b^\frac{5}{10}=a^{\frac{1}{2}}b^\frac{1}{2}=(ab)^{\frac{1}{2}}=\sqrt (ab)$
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.