Divide Radicals

How to divide radicals: 1 example and its solution.

Example

Example

Solution

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

So √10xy3 / √2y = √10xy3/2y

Reduce the numerator 10
and cancel the denominator 2.

y3/y = y3 - 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.