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Simplifying by Adding or Subtracting Common Radical Factors
02:13

Simplifying by Adding or Subtracting Common Radical Factors

A new guideline for simplifying radicals is introduced: the terms in a fully-simplified radical expression must have no common radical factors. Simplifying a radical expression by adding or subtracting common radical factors is illustrated.

Simplifying to Find a Common Radical Factor
01:54

Simplifying to Find a Common Radical Factor

The process of simplifying to find a common radical factor is demonstrated.

Expressions That Have No Common Radical Factor
01:08

Expressions That Have No Common Radical Factor

Simplifying a radical expression that has no common radical factor using subtraction.

Denominator of a Simplified Expression Never Has Radicals, The
01:42

Denominator of a Simplified Expression Never Has Radicals, The

A guideline is presented: a simplified radical expression never has radicals in the denominator. An expression with a radical in the denominator, but not in the numerator, is simplified using the identity property of multiplication and the process o...

Division with a Binomial in the Numerator
01:30

Division with a Binomial in the Numerator

Examples of simplifying radical expressions with division when numerators contains a binomial.

Examples of Division Problems with Radicals
01:21

Examples of Division Problems with Radicals

Two division problems with radicals are demonstrated.