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## Radical ExpressionsSquare Roots; Radical Notation Principal Square Root – square root of b, denoted
,
for b > 0, is the positive number a such that a Examples: Simplify.
Multiplying Radical Expressions Examples: Simplify
Dividing Radical Expressions For any root n and any nonnegative numbers a and b, b≠0, Examples:
Homework: pg. 528 #9,13,17,21,23,25,27,29,33,43,45,47,49,51,53,55,57,59,67,71 Rational Exponents Recall:
For any integer n > 1, we define to be the nth root of a, or Examples:
For any integers m and n, n > 1, we define to be Examples:
Examples:
Homework: pg. 575 #3,9,11,13,15,17,19,33,35,37,39,43,45,53,55,63,65 Simplifying Radical Expressions; Adding and Subtracting Radical Expressions Simplify.
Examples:
Homework: pg. 582 #3,5,7,9,11,13,15,17,19,25,29,35,39,49,55,57,59,61 Multiplication and Division of Radical Expression Examples:
Rationalizing the Denominator:
Homework: pg. 592 #5,7,13,15,19,23,25,27,33,35,37,39,41,45,47,49,55,61,65,67,75 Radical Equations Examples:
6. For find all values for x for which f(x) = 9.
Homework: pg. 603 #7,9,11,13,17,19,21,25,27,29,31,33,39 Complex Numbers
Examples: 1. Express in terms of i. 2. Express in terms of i. 3. Express − in terms of i.
Complex Number: a + bi, where a is the real part and bi is the imaginary part. Examples: a. (3 + 12i) + (-8 + 15i) b. (14 – 6i) – (3 + 22i) 2. Multiply. a. (4i)(15i)
c. -6i(7 + 8i) d. (3 – 2i)(8 + i) e. (9 – 4i) f. (7 + 4i)(7 – 4i) Examples: Powers of i: Homework: pg. 613 #7,9,13,19,23,25,33,35,45,47,51,53,651,63,65,69,71,73 |