Chapter 8 Study Guide
Carson/ Gillespie/ Jordan Intermediate Algebra 2nd Edition

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KNOW HOW TO:

Evaluate integer square roots, cube roots, 4th roots, 5th roots and verify your answers (as discussed in class - see Class Notes)
Approximate roots to 3 decimal places using a calculator.
Find the domain of a radical function                 
Evaluate expressions with rational (fraction) exponents 
Rewrite expressions with rational exponents as radical expressions, then simplify them when possible.          
Rewrite radical expressions as exponential expressions with rational exponents.
Use rules of exponents to simplify expressions with rational exponents.
Multiply radical expressions and simplify the answer.
Divide radical expressions and simplify the answer.
Simplify radical expressions where the radicand is not a perfect power.
Add and subtract radical expressions.
Use the Distributive Property with radical expressions.
Use FOIL with radical expressions.
Follow Order of Operations involving radical expressions.
Rationalize monomial denominators in fractions containing radical expressions.
Rationalize binomial denominators in fractions containing radical expressions.
KNOW:    Ö-1 = i    and        i2  =  -1  
                 never replace i          always replace i2
Find the even root of a negative number - it is imaginary.
Add and subtract complex numbers.
Multiply complex numbers.
Divide a complex number by a complex number (binomial).
Divide a complex number by an imaginary number (monomial).