Binomial Radical Expressions

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Binomial Radical Expressions
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Like Radicals

• Have the same index and the same radicand.
• Examples

Cant be done!
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Adding and Subtracting Radical Expressions

• To add and subtract like radicals, use the
  Distributive Property.
• Examples

Cant 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