7.2 Multiplying and Dividing Radical Expressions

PRODUCT OF RADICALS RULE Note: a and b MUST be real numbers to use this property for multiplying real numbers

Let’s try some

Let’s try some with variables

QUOTIENT OF RADICALS RULE

RATIONALIZING a DENOMINATOR How to rationalize If there is a radical in the bottom, then you must rationalize it.

Rationalize Example

twice instead of just once??? Another Example Why do we rationalize twice instead of just once???

Let’s try some . . . (Be sure to rationalize the denominator)

Let’s try some . . . (Be sure to rationalize the denominator)