Answer
$2y^{5}$
Work Step by Step
$\sqrt (4y^{10})=\sqrt 4\times\sqrt(y^{10})=2y^{5}$
We know that $\sqrt 4=2$, because $2^{2}=4$. Also, we know that $\sqrt(y^{10})=y^{5}$, because $(y^{5})^{2}=y^{5\times2}=y^{10}$.
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