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Radicals - Adding, Subtracting, Multiplying, Dividing, and Solving Radical Equations

Jeremy Klassen via YouTube

Overview

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Learn fundamental concepts and operations involving radicals through comprehensive video lessons covering addition, subtraction, multiplication, division, and equation solving. Master the conversion between mixed and entire radicals, practice ordering mixed radicals, and develop skills in simplifying radical expressions. Explore multiplication techniques including radicals with binomials, conjugates, and monomials, while learning to rationalize denominators and work with radical fractions. Apply radical concepts to geometric problems such as finding areas and perimeters of squares and circles, and solve complex radical equations while identifying extraneous solutions and variable restrictions. Practice graphical analysis of radical functions and work through real-world applications involving area calculations and geometric measurements.

Syllabus

Math 20 2 Adding and Subtracting Radicals Lesson
Math 20 2 Multiplying Radicals Lesson
Math 20 2 Dividing Radicals Lesson
Math 20 2 Solving Radical Equations Lesson
Solving a Complex Radical Equation II
Converting a mixed radical to an entire radical 1
Putting mixed radicals in order 2
Which of the following statements is true anout radicals 3
Simplify and add two radicals 4
Adding and subtracting radicals 5
Finding the area of a square with a mixed radical side 6
Multiplying and simplifying radicals 7
Multiplying a radical by a binomial 8
Multiplying conjugates with radicals 9
Monomials by binomals with radicals 10
Several multiply and simplify questions with radicals 11
Find the perimeter of a square drawn in a circle 12
Squaring a binomial with a radical 13
Simplifying and rationalizing 14
Quick rationalizing problem 15
Rationalizing and subtracting fractions 16
Several rationalizing problems 17
Simple restriction on a variable 18
Restrictions on variables 19
Find the solution to a simple cubic equation 20
Find the extaneous root of an equation 21
Solving several radical equations 22
Evaluating a radical expression 23
Which radical equation has a solution 24
Graphically find the zeros of a function 25
Find the area of the shaded region 26
Find the area and perimeter of a shape 27

Taught by

Jeremy Klassen

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