Simplifying Radicals Using Multiplication
Radicals are simplified using multiplication, illustrating when to multiply first and then find the square root of the product and when to find the square root first and then multiply.
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.
Identities for Addition and Multiplication Defined
An equation is a statement that two quantities are equal. Explanation of an identity equation and identifying a statement that is not an equation.
More than One Base Inside Parentheses
Simplifying an expression with more than one base contained within parentheses.
Practical Problem: Finding Average Speed
Complex fractions often appear in formulas used to solve problems. A practical problem involving the rate, time, and distance formula illustrates working with complex fractions.
Rewriting Radical Notation Using Rational Exponent Form
Finding the value of a radical by writing it in rational exponent form.
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.
Practical Problem: Finding Volume
A practical problem about volume is solved using division of a rational expression.