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...
Dividing a Polynomial by a Monomial
Using the rules for exponents to divide a polynomial by a monomial.
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.
Division with a Binomial in the Numerator
Examples of simplifying radical expressions with division when numerators contains a binomial.
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.
Evaluating a Rational Expression in which m = 4 Compared with the Same Expression in which m = -4
Comparison of the results of evaluating an expression in which the variable is substituted with 4 and then with -4.
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.