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Review of Radicals (Ch 12)

Some topics will have pencasts related to them, these will be links to the actual pencast on the Livescribe website.

12.1 Radical Expressions and Functions

Key points:

• Evaluate square roots and cube roots
• Evaluate radicals with index values higher than 2 or 3
• FInd the domain of square root functions
• use models that are square root functions
• simplify even roots that contain variables - use absolute values!
• simplify odd roots that contain variables

12.2 Radical Expressions and Functions

Key points:

• convert from fractional exponents to radical notation and back
• use fractional exponents to simplify problems containing fractional exponents
• use fractional exponents to simplify problems containing radical notation EX 1, EX 2, EX 3, EX 4

12.3 Multiplying and Simplifying Radical Expressions

Key points:

• use the product rule to multiply two radicals
• use factoring and the product rule to simplify radicals EX 1, EX 2, EX 3, EX 4
• multiply radicals and then simplify

12.4 Adding, Subtracting and Dividing Radical Expressions

Key points:

• add and subtract radical expressions EX 1 , EX 2
• use the quotient rule to simplify radical expressions
• use the quotient rule to divide radical expressions

12.5 Multiplying With More than One Term and Rationalizing Denominators

Key points:

• multiply radicals with more than one term
• use polynomial special products to multiply radicals
• rationalize denominators containing one term
• rationalize denominators containing two terms

12.6 Radical Equations

Key points:

• solve radical equations - with one(EX 1, EX 2 , EX 3, EX 4 , EX 5 , EX 6 )or two radicals
• use models that are readical funcitons to solve problems

12.7 Complex Numbers

Key points:

• Express square roots of negatives in terms of i
• add and subtract complex numbers
• multiply complex numbers
• divide complex numbers
• simplify powers of i Ex 1, EX 2