Simplifying by Adding or Subtracting Common Radical Factors
A new guideline for simplifying radicals is introduced: the terms in a fully-simplified radical expression must have no common radical factors. Simplifying a radical expression by adding or subtracting common radical factors is illustrated.
Multiplying First to Get a Perfect Square in the Radicand
Simplifying a radical by multiplying first to get a perfect square in the radicand.
Simplifying to Find a Common Radical Factor
The process of simplifying to find a common radical factor is demonstrated.
Simplifying Radicals before Multiplying
Instances are demonstrated where simplifying radicals before multiplying are indicated.
Factor 14n 35p
Demonstration of factoring a polynomial with no like terms: 14n 35p,
Factor 7x2y2 4xy2 - 8x2y
Practice factoring: 7x2y2 4xy2 - 8x2y
Factor 72m3n2p5 - 48mn5p3
Practice factoring: 72m3n2p5 - 48mn5p3
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.
Solving Equations: Summary: Solving Equations
This clip summarizes how to solve equations. It describes the relationship between word problems, number sentences and equations, noting that the latter are, "
nothing more than a statement that two mathematical expressions are equal." The clip rev...
Solving Equations: Solving An Equation
This clip describes the steps in solving a simple equation. It states that "...the important thing is to study the equation, decide what you want to move around or get rid of, and proceed step by step." It also advises that "
it's usually easiest t...