math test 2

What is a rational expression?

A fraction in which the numerator and the denominator are both polynomials.

What is the first step in adding two rational expressions?

Find a common denominator.

How do you simplify rational expressions?

Factor both the numerator and denominator and then cancel common factors.

Why is it important to check for restrictions when working with rational expressions?

Because the denominator cannot equal zero.

What is a radical expression?

An expression that involves roots, such as square roots or cube roots.

What is the process for simplifying a radical expression?

Factor out the largest square (or cube, etc.) possible and use rules of radicals to combine or simplify terms.

What defines a radical equation?

An equation that includes a variable within a radical.

How do you solve a radical equation?

By isolating the radical and then squaring both sides.

Why is it necessary to check for extraneous solutions in radical equations?

Because squaring both sides can introduce solutions that are not valid in the original equation.