Final: Clear the Root

Part of the Radicals & Rational Exponents section of Coddy's Algebra 2 journey. Lesson 40 of 43.

Rewrite the fraction on the board so that no root is left in its denominator. Its bottom is a difference of two roots. Simplify the result as far as it goes.

Challenge

Write 8/(√(6) - √(2)) with no root in the denominator, multiplied out.

Try it yourself

8/(sqrt(6) - sqrt(2))

Clear the root from the denominator

Test yourself

This lesson includes a short quiz. Start the lesson to answer it and track your progress.

All lessons in Radicals & Rational Exponents

1Simplifying Radicals

Roots and Powers Perfect Square Factors The Largest Square Letters Under the Root Cube Roots Recap: Simplifying Radicals

4Rationalizing

One Root Below A Number and a Root The Conjugate Below Recap: Rationalizing

7Powers and Roots Equations

Odd Powers Even Powers Fractional Powers Two Thirds Power Recap: Power Equations

2Adding & Subtracting Radicals

Like Radicals Simplify First Subtracting Recap: Adding Radicals

5Rational Exponents

One Over n m Over n Negative Exponents Exponent Rules Still Work Recap: Rational Exponents

8Radical Functions

Domain of a Root Evaluating Inverse of a Square Recap: Radical Functions

3Multiplying Radicals

Root Times Root Distributing a Root Two Brackets Conjugate Pairs Recap: Multiplying Radicals

6Radical Equations

Square Both Sides Isolate the Root First A False Answer Cube Root Equations Recap: Radical Equations

9Final Challenges

Final: Simplify and AddFinal: Clear the RootFinal: The Exponent Final: Check It Final: The Falling Ball