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**Binomial Radical Expressions**

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**Like Radicals Have the same index and the same radicand. Examples**

Can’t be done!

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**Adding and Subtracting Radical Expressions**

To add and subtract like radicals, use the Distributive Property. Examples Can’t be added, not like radicands

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**Simplifying Before Adding or Subtracting**

*Simplify the radical, then add or subtract

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**Multiplying Binomial Radical Expressions**

Use FOIL to multiply First Outer Inner Last

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Conjugates Expressions such as and that differ in only the sign of the second term.

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**Multiplying Conjugates**

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**Rationalizing Binomial Radical Denominators**

Sometimes you need to rationalize the denominator of a fraction when the denominator is a binomial radical expression Multiply the numerator and denominator of the fraction by the conjugate of the denominator

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