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How do you add similar rational algebraic expressions?
Lcd/lcm
Why is it important to simplify radical expressions?
Simplifying radical expression is simply performing the operations in similar or like terms. This helps eliminate confusion and makes the equation simpler and easier to manage.
How are numerical and variable expressions similar?
These two are both similar because they are both expressions.
Can any number serve as the denominator in a rational expression?
The math definition of a rational number is any number a/b so that both a and b are integers, except b ( the denominator) cannot be zero. So if you can manipulate the expressions to become this form, a/b, then it is the equavilent of a rational expression. Rational algebraic expressions are similar, except they contain variables. The same condition for the denominator must be true. The entire expression in the denominator cannot equal zero, but the variable might equal zero. Ex. a 1 / (x-1) .... x-1 cannot equal zero, which means that x cannot equal 1. Ex. b (1/3)/(1/4) can be simplified into 4/3 which is a rational number.
How can algebraic expressions be simplified?
In many ways. It really depends on the algebraic expression. If several terms are added/subtracted, you can usually combine similar terms (terms that have the same combination of variables). If variables are multiplied, you can combine the same variable, adding the corresponding exponents. Sometimes expressions get simpler if you factor them; sometimes you have to multiply out (in other words, the opposite of factoring). Quite frequently, you have to use a combination of methods to simplify expressions. Take an algebra book, and look at some of the examples.
