Dividing Two Monomials with the Same Base
The rules for exponents includes the rule for dividing two monomials with the same base, as demonstrated here.
Equation That Has No Solution, An
An equation is found to have no solution after using the least common denominator to get a quadratic equation.
Division with a Binomial in the Numerator
Examples of simplifying radical expressions with division when numerators contains a binomial.
Changing Rational Exponent Form to Radical Notation
Writing an expression in radical notation is detailed using several examples
Combining Direct, Joint, and Inverse Variation in a Problem
A problem combining direct, joint, and inverse variation is demonstrated and solved.
Estimating Radicals to Set a Safe Speed Limit
A practical problem involving setting a speed limit is solved that involves estimating radicals to find the value of an irrational solution.
Evaluating a Rational Expression
The method of substituting a value for the variables in a rational expression is called evaluating an expression.
Examples of Rationalizing the Denominator
Problems involving rationalizing the denominator are presented and a shortcut is given.
Examples of Division Problems with Radicals
Two division problems with radicals are demonstrated.
Multiplying then Simplifying Two Radicals
The procedure for simplifying radicals by beginning with multiplication is demonstrated.