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Published byNorma O’Connor’ Modified over 6 years ago

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11.3 Simplifying Radicals

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Simplifying Radical Expressions

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A 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.

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Steps 1.Try to divide the radicand into a perfect square for numbers 2.If there is an exponent make it even by using rules of exponents 3.Separate the factors to its own square root 4.Simplify

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Simplify:

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

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

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Simplify:

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Cube roots 2^3 = 8 3^3= 27 4^=64 5^3=125 Classwork Page 494 (2-16) even

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Assignment: Page 493 2-48 (even other even)

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