2. Examples for Rationalizing the Denominator Examples It is improper for a fraction to have a radical in its denominator. To remove the radical we “rationalize the denominator”.

3. Examples for Rationalizing the Denominator (EX: 1 of 3) Next Example Multiply numerator and denominator by the denominator Simplify Factors of 56. Simplify denominator. Take square root of 4 and write it outside the radical sign Simplify…divide 2 and 8

4. Examples for Rationalizing the Denominator (EX: 2 of 3) Next Example Multiply numerator and denominator by the denominator Simplify Simplify denominator. Simplify the numerator. Simplify the terms outside the radical sign.

5. Examples for Rationalizing the Denominator (EX: 3 of 3) Multiply numerator and denominator by the denominator Simplify Simplify denominator. Break apart 504. Take square root of y 10 and write it outside the radical sign Take square root of 36 Simplify