College Algebra: Lecture 4: Radicals and Rational Exponents

In this lecture, we look at the radicals: square roots, cube roots, how to add and subtract square roots and nth roots, how to simplify square roots and nth roots. We also discuss how to express square roots and nth roots as rational exponents and how to work with rational exponents. This lecture series will follow the OpenStax College Algebra 2e text.

College Algebra Lecture 4.
Chapter 1 Prerequisites
1.3 Radicals and Rational Exponents

College Algebra Lectures:
https://youtube.com/playlist?list=PLm90IN9RVLf-dEB23w6udDywhpnuBT1eb&si=B4wXoin2xbxVlmym

OpenStax College Algebra 2e:
https://openstax.org/subjects/math#College%20Algebra

Dogmathic Discord:
https://discord.com/channels/1397605575101255780/1397605575558168577

Chapters:
00:00 Introduction to Lecture 04
01:12 Radicals
05:24 Perfect Squares
07:17 Product Rule for Radicals
10:44 Quotient Rule for Radicals
13:52 Adding and Subtracting Square Roots
18:38 Rationalizing Denominators
23:18 Using Conjugates to Rationalize Denominators
26:56 nth Roots
30:47 Rational Exponents
35:20 Simplifying Rational Exponents
38:28 Simplifying a Beast!
44:56 Thanks! and Next Time

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