# Divide Radicals

How to divide radicals: 1 example and its solution.

## Example√10xy^{3} / √2y

Solution

Solution (Detail)

Combine 10xy^{3} and 2y

in a square root sign.

So √10xy^{3} / √2y = √10xy^{3}/2y.

Reduce the numerator 10 to, 10/2, 5

and cancel the denominator 2.

y^{3}/y = y^{3 - 1} = y^{2}

Quotient of Powers

So √10xy^{3}/2y = √5xy^{2}.

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.