# Simplifying Radical Expressions Simplifying Radicals Radicals with variables

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17-Jan-2016Category

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Simplifying Radical ExpressionsSimplifying RadicalsRadicals with variables

Definition of Square Root: For any real numbers a and b, if a2 = b, then a is a square root of b.

Index numberRadical signradicandRadical Expression

Lets review. Simplify each expression. Assume all values of the variable are positive.Examples:

Examples:

Try these with your partner:

Try these with your partner:

Adding and Subtracting Radical Expressions

Radical expressions can be combined (added orsubtracted) if they are like radicals that is, theyhave the same root ________ and the same ________.

Example 5: and are alike. The root index is _____ for both expressions and the radicand is _____ for both expressions.

indexradicand26

Example 6: and are not alike. Theyboth have the same __________ but the root_______ are not the same.

To determine whether two radicals are like radicals, you must first __________ each radicand.

indicesradicandsimplify

Simplify each expression:(7).(8).(9).(10).

Try these with your partner:(11).(12).(13).(14).

Add or subtract as indicated. Simplify first!(15).

(16).

Try these with your partner:(17).

(18).

(19).

(20).