Elementary Algebra
Introduction to Algebra Linear Equations and Inequalities Functions and Graphs I Lines and thier Graphs Linear Systems Exponents & Polynomials
Intermediate Algebra
Factoring Rational Expressions Rational Equations and Applications Radical Expressions Nonlinear Equations and Applications Functions and Graphs II Exponential and Logarithmic Functions
Precalculus I / College Algebra
Equations and Inequalitites Functions and Graphs Polynomial and Rational Functions Exponential and Logarithmic Functions Systems and Matrices Geometry Basics Conic Sections Sequences and Series
Precalculus II / Trigonometry
The Six Trigonometric Functions Right Triangle Trigonometry Circular Functions Graphs of Trigonometric Functions Trigonometric Identities Trigonometric Equations Oblique Triangles and the Laws Vectors Complex, Parametric, and Polar Forms
Calculus I
Limits and Continuity Derivatives Analysis of Curves Antiderivatives
Calculus II
Transcendental Functions
Geometry Physics Integration Techniques Calculus of Infinity Parametric, Polar, and Conic Curves
Calculus III

Course: Intermediate Algebra
Subtopic: Operations II - Add & Subtract

Overview

Rule: You can only add or subtract "like" radical expressions, meaning that they must have the same index and identical radicands (stuff under the radical sign).

For example a square root and a cube root cannot be added, they are not like radicals since they don't have the same index.

Objectives

By the end of this topic you should know and be prepared to be tested on:

• 10.4.1 Recognize "like" radicals
• 10.4.2 Know that it is only "like" radicals that can be added or subtracted
• 10.4.3 Add or subtract radical expressions simplifying as needed

Terminology

Terms you should be able to define: "like" radicals, "building up" a radical to a perfect square (or cube, etc.)