Simplifying Radicals With Variables
Using the rules for simplifying radicals with numbers in the radicand to simplify radicals with variables.
Rationalizing the Denominator with Variables in the Radicand
Rationalizing the denominator with a variable in the radical is demonstrated.
Solve: 9x2 - 24x = -16
Practice solving an equation using the quadratic formula: 9x2 - 24x = -16.
Rewriting Radical Notation Using Rational Exponent Form
Finding the value of a radical by writing it in rational exponent form.
Identifying Linear Equations
How to identify a linear equation.
Guidelines for Simplifying Radicals
The guidelines for simplifying radicals include simplifying any perfect square in the radicand and assuring that each term in a radical expression has no more than one radical.
Solving an Equation with the Least Common Denominator: Practice Problem
A problem is presented to practice solving an equation using the least common denominator to get a quadratic equation.
Practical Problem: Machines Working at Different Speeds
The procedure for developing an equation to solve a practical work problem involving machines working at different speeds is detailed. The unknown is identified and an equation is written, solved, and checked.
Shortcut for Simplifying Radicals Before and After Multiplying
To avoid having to find perfect square factors for a large number by multiplying two radicals, first look for a common factor in the radicands that can be factored, then multiply.
Approximate Square Roots
Finding the approximate square root for numbers that are not perfect squares is demonstrated. Irrational numbers are explained.