Ch 10.2 (2)

Objective:

To simplify radical expressions involving

division.

DefinitionsQuotient Property

The square root of a quotient equals the quotient of the square roots of the numerator (top) and denominator (bottom).

For example, =

and =

√ab

√a √b

√a √b √

ab

Rules for Division

Simplifying

The values must be EXACTLY the same if they are to be crossed out.

For example: , ,

Rationalizing the Denominator

The denominator should NOT contain a radical expression. In order to eliminate the radical, you must multiply both the numerator (top) and denominator (bottom) by the radical expression.

(the next slide has more detailed info)

(√3 and 3 are not the same and cannot be crossed out!

2 3 3

2 √3 √3

2 √3 3

Three Rules for Simplifying Radical Expressions

1) Leave no pairs in a radicand.

2) Leave no fractions or decimals in a radical.

3) Leave no radicals in a denominator (bottom).

Examples of Division

1)

2)

3)

More examples of Division

4)

5)

More Example of Division.

6)

7)