Chapter 9

$Chapter 9$

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Video Instruction

Roots and Radicals

Section 9.1

Radicals

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9.1.1 - Radicals-Introduction (7:49)

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9.1.2 - More on Radicals (6:21)

Section 9.2

Rational Exponents

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9.2.1 - Definition, Evaluation of numbers with Rational Exponents (7:56)

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9.2.2 - More on Rational Exponents (6:52)

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9.2.3 - Simplifying Expressions with Rational Exponents-Properties of Exponents (6:07)

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9.2.4 - Additional Examples of Simplifying with Rational Exponents (6:51)

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9.2.5 - Summary for working with Rational Exponents (4:42)

Section 9.3

Simplifying Radicals

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9.3.1 - Product and Quotient Rules for Radicals, four examples (9:17)

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9.3.2 - Example with Square Roots (1:29)

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9.3.3 - Example with Cubic Root of a Negative (1:46)

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9.3.4 - Example with a Quotient inside a Radical (2:12)

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9.3.5 - Example with a Cubic Root of a Quotient (1:06)

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9.3.6 - One more Example (2:59)

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9.3.7 - Applications-The Pythagorean Theorem and the Distance between two Points (10:44)

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9.3.8 - Applications-The Distance Formula (7:01)

Section 9.4

Addition and Subtraction of Radical Expressions

$bullet$	9.4.1 - Addition & Subtraction of Radical Expressions (9:14)
$bullet$	9.4.2 - Adding and Subtracting Radicals with Fractions - Numerical Denominator (5:05)
$bullet$	9.4.3 - Adding Subtracting Radicals with Fractions - Variables in Denominator (2:45)

Section 9.5

Multiplication and Division of Radical Expressions

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9.5.1 - Multiplication and Division of Radical
Expressions (8:52)

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9.5.2 - Rationalizing Radical Expressions-involving
Square Roots (5:51)

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9.5.3 - Rationalizing Radical Expressions-involving
Cubic Roots (5:03)

$bullet$	9.5.4 - Another example (3:22)
$bullet$	9.5.5 - Rationalizing Denominators with Binomials Involving Radicals (4:59)
$bullet$	9.5.6 - Writing Radical Expressions in Lowest Terms (1:51)

Section 9.6

Solving Equations With Radicals

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9.6.1 - One Example (4:19)

$bullet$	9.6.2 - Two more involved Examples (9:57)
$bullet$	9.6.3 - An Equation with Two Radicals (7:22)

Section 9.7

Complex Numbers

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9.7.1 - Imaginary Unit, i, and Definition of a Complex Number (10:27)

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9.7.2 - Addition, Subtraction, Multiplication of Complex Numbers (6:03)

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9.7.3 - Division of Complex Numbers (5:08)