Divide Radicals

Combine 10xy³ and 2y
in a square root sign.

So √10xy³ / √2y = √10xy³/2y.

Reduce the numerator 10 to, 10/2, 5
and cancel the denominator 2.

y³/y = y^{3 - 1} = y²

Quotient of Powers

So √10xy³/2y = √5xy².

Take the squared factor, y,
out from the square root.

And leave the non-squared factors, 5 and x,
in the square root.

Simplify a Radical

So y√5x is the answer.