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.
Shortcut for Solving Equations, A
Any term in an equation can be transferred to the other side if you change the sign. An explanation of this shortcut for solving equations.
Shortcuts for Solving Equations
A review of shortcuts that can be used in solving equations.
Simplify first by Combining Like Terms
Equations can sometimes be simplified to present the same information in a form that is easier to work with. Simplify whenever possible by combining like terms.
Simplifying An Expression Using Many Rules
Practice applying the rules for exponents to simplifying complex expressions.
Simplifying Complex Expressions
Applying the rules for exponents to simplifying more complex expressions.
Simplifying Complex Fractions
Simplifying a complex fraction results in a single rational expression. Two approaches to simplifying a complex fraction are demonstrated.
Simplifying Expressions with Negative Exponents
Another expression is reduced to its simplest form, demonstrating the rule for dividing two monomials with the same base.
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.