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.

Multiplying Conjugates

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