Approximating the Value of a Solution
Sometimes it makes sense to approximate the value of a solution. An example is given and the solution found.
Multiplying Two Expressions
Multiplying the contents of two sets of parentheses demonstrates how algebra provides the tools to break the most complicated problem into simple, sequential steps.
Order of Radicals and Exponents, The
In algebraic expressions, radicals and exponents are completed first.
Treating the Numerator and the Denominator as a Package
Numerators and denominators are packages that cannot be broken up, and must first be simplified.
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
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.
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.