7.3 Binomial Radical Expressions

Review Example

RADICAL EXPRESSIONS EX-adding RULES –Have to have same number on inside –Have to have same nth root

RADICAL EXPRESSIONS EX-adding

Let’s try some...

Solutions

Review - RATIONALIZING a DENOMINATOR How to rationalize using conjugates –If there is a radical in the bottom, then you must rationalize it.

How to rationalize when there are rationals in the denominator… Multiply by the same root but make it so you can take root of the powers

Let’s remember conjugates Sample: Find the conjugate of Multiply the binomial by the conjugate using the box method (3)= -48 Notice: No roots appear in our solution when we multiply by a conjugate

RADICAL EXPRESSIONS EX-FOIL Method +-- Fully simplified since radicals can’t break down and our addition rules don’t apply

EX-rationalizing CONJUGATE