Simplifying Radical Expressions Simplifying Radicals Radicals with variables

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Transcript of Simplifying Radical Expressions Simplifying Radicals Radicals with variables

  • 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).