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Video Definition 3--Rationals and Radicals--Complex Number

Video Definition 3--Rationals and Radicals--Complex Number

Topic

Rationals and Radicals

Description

A complex number is a non-real number expressed in forms such as a + bi, r e(iθ), or r cos(θ) + i r sin(θ). Examples include 2 + 5i, 12 e(iπ/4), and 5 cos(60°) + i 5 sin(60°). Complex numbers extend the number system to include imaginary units, enabling solutions to equations like x2 = -1.

Understanding this video is essential for grasping the fundamentals of Rationals and Radicals. The mathematical concepts explored here form the basis for further exploration and application in related fields.

Teacher's Script: "Today, we will delve into an important concept that helps us simplify and solve complex problems in mathematics. This video introduces the concept of  complex numbers and shows how it applies in various scenarios. Pay close attention to how the examples are worked out."

For a complete collection of videos related to Rationals and Radicals click on this link: Math Video Definitions: Rationals and Radicals Collection.

Common Core Standards CCSS.MATH.CONTENT.HSA.REI.A.2, CCSS.MATH.CONTENT.HSN.RN.A.1, CCSS.MATH.CONTENT.HSF.IF.C.7, CCSS.MATH.CONTENT.HSA.REI.A.2
Duration 1 minutes
Grade Range 8 - 12
Curriculum Nodes Algebra
    • Radical Expressions and Functions
        • Radical Expressions
Copyright Year 2024
Keywords radicals, radical expressions, rational numbers, rational expressions, definitions, glossary term, rational functions