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.
Multiplying First to Get a Perfect Square in the Radicand
Simplifying a radical by multiplying first to get a perfect square in the radicand.
Simplifying to Find a Common Radical Factor
The process of simplifying to find a common radical factor is demonstrated.
Simplifying Radicals before Multiplying
Instances are demonstrated where simplifying radicals before multiplying are indicated.
Square Root of a Product, The
Illustrations of the rule for multiplying radicals: the square root of a times the square root of b equals the square root of the product a times b.
Simplifying Rational Expressions
Simplifying rational expressions is like reducing rational numbers. First fully factor the numerator and denominator and then cancel all the common factors. The process is illustrated step by step.
Simplifying Complex Expressions
Applying the rules for exponents to simplifying more complex expressions.
Simplifying An Expression Using Many Rules
Practice applying the rules for exponents to simplifying complex expressions.
Simplifying Expressions with Negative Exponents
Another expression is reduced to its simplest form, demonstrating the rule for dividing two monomials with the same base.
Examples of Simplifying Expressions Written in Parentheses
Using more than one of the rules for exponents to simplify expressions written with parentheses.