Final: Clear the Root

Part of the Radicals & Rational Exponents section of Coddy's Algebra 2 journey. Lesson 37 of 40.

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 $\frac{8}{\sqrt{6}-\sqrt{2}}$ with no root in the denominator, multiplied out.

Try it yourself

\frac{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

1Simplest Form

Perfect Square Factors Like Radicals Simplify First Recap: Adding 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

2Letters and Cube Roots

Letters Under the Root Cube Roots Recap: Simplifying 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