Binomial Radical Expressions
Like Radicals Have the same index and the same radicand. Examples
Can’t be done!
Adding and Subtracting Radical Expressions
To add and subtract like radicals, use the Distributive Property. Examples Can’t be added, not like radicands
Simplifying Before Adding or Subtracting
*Simplify the radical, then add or subtract
Multiplying Binomial Radical Expressions
Use FOIL to multiply First Outer Inner Last
Conjugates Expressions such as and that differ in only the sign of the second term.
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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