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11.3 Simplifying Radicals

Simplifying Radical Expressions

Simplifying Radical ExpressionsA radical has been simplified when its radicand contains no perfect square factors.Test to see if it can be divided by 4, then 9, then 25, then 49, etc.Sometimes factoring the radicand using the tree is helpful.

StepsTry to divide the radicand into a perfect square for numbersIf there is an exponent make it even by using rules of exponentsSeparate the factors to its own square rootSimplify

Simplify:

Simplify:

Simplify:

Simplify:Square root of a variable to an even power = the variable to one-half the power.

Simplify:Square root of a variable to an even power = the variable to one-half the power.

Simplify:

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Cube roots2^3 = 83^3= 274^=645^3=125Classwork Page 494 (2-16) even

Assignment:

Page 4932-48 (even other even)