Simplifying radicals worksheet algebra 2 answer key

  • Simplifying Radical Functions:

    Videos:

    Simplifying High Power Roots

    Simplifying Higher Roots (Khan)

    Simplifying Higher Root Expressions (Khan)

    Simplifying Higher Roots (Khan)

    Practice: 

    Simplifying Radicals (includes explanations)

    Simplifying Higher Roots (Last 2 pages have practice & answer key)

    Mixed Practice (see last 2 pages)

    Simplify radicals

    Simplify higher roots

    Adding/Subtracting Radical Functions:

    Videos:

    Add Radicals (Khan) 

    Subtract Radicals (Khan)

    Add & Subtract Square Roots

    Add & Subtract Roots with Higher Indexes

    Combining Cubed Roots

    Practice:

    Mixed Practice (see last 2 pages) 

    Add & Subtract Radicals

    Add & Subtract Radicals

    Add & Subtract Square Roots

    Add & Subtract Radicals (Quizlet)

    Multiplying/Dividing Radical Functions:

    Videos:

    Multiplying Square Roots

    Multiplying Radicals (Different Method)

    Multiply Radicals

    Multiplying Binomials

    Multiplying Radicals with Variables

    Dividing Radicals

    Dividing Radicals

    Mixed Review (skip to 13:30 for radical conjugates)

    Dividing Radicals Using Conjugates

    Practice:

    Multiplying & Dividing (includes explanation)

    Multiply Radicals (3 different ways)

    Multiplying Radicals

    Multiplying Square Roots

    Multiplying & Dividing

    Mixed Practice (see last 2 pages)

    Dividing Radicals (with explanation)

    Dividing Radicals (worksheet with answer key)

    Dividing Radicals (worksheet with answer key)

    Multiplying & Dividing (with worked out problems)

    Dividing Radicals

    Dividing Using Conjugates

    Rational Exponents:

    Videos:

    Intro to Rational Exponents

    Rewriting Roots as Rational Exponents

    Evaluating with Rational Exponents

    Evaluating with Rational Exponents

    Dividing with Rational Exponents

    Simplifying Expressions with Rational Exponents

    Rational Exponents Overview

    Practice:

    Evaluate Rational Exponents

    Multiplying with Rational Exponents

    Dividing with Rational Exponents

    Power Rule

    Simplifying Expressions with Rational Exponents

    Simplifying Expressions with Rational Exponents

    Solving Radical Functions:

    Videos:

    Intro to Radical Functions and Extraneous Solutions (Khan)

    Solving Square Root Equations (Khan) 

    Solving Square Root Equations (Khan)

    Solving Square Root Equations (Khan)

    Extraneous Solutions (Khan)

    Solving Square Root Equations

    Solving Cube Root Equations (Khan)

    Solving Higher Order Radical Equations

    Solving Square Root Equations (Many Examples)

    Practice:

    Solving Square Root Equations

    Extraneous Solutions (Khan)

    Solving Square Root Equations (Khan)

    Solving Square Root Equations (Simple)

    Solving Radical Equations (Explanations and Practice)

    Solve Square Root Equations

    Solving Radical Equations (Good worksheet with answer key)

    Solving Radical Equations

    Graphing Radical Functions:

    Videos:

    Graphs of Square Root Functions (Khan)

    Transforming Square Root Functions (Khan)

    Graphing Square Root Functions

    Practice:

    Interactive Graph

    Worksheet with Answer Key

    Domain and Range Practice

    Domain and Range Practice

    Worksheet with Answer Key

    Worksheet with Answer Key

How do you simplify radicals?

To simplify a radical expression, simplify any perfect squares or cubes, fractional exponents, or negative exponents, and combine any like terms that result. If there are fractions in the expression, split them into the square root of the numerator and square root of the denominator.

How do you multiply radicals with radicals?

To multiply two radicals together, you can first rewrite the problem as one radical. The two numbers inside the square roots can be multiplied together under one square root. Simplify what's inside the radical to write your final answer.

How do you subtract radicals?

Subtraction of radicals follows the same set of rules and approaches as addition—the radicands and the indices (plural of index) must be the same for two (or more) radicals to be subtracted. In the three examples that follow, subtraction has been rewritten as addition of the opposite.