# Squares and Square Roots

# Algebra Terms

## Get down with the lingo

### Conjugate

The result of multiplying a binomial (*a*+

*b*) by (

*a*–

*b*) to obtain

*a*

^{2}–

*b*

^{2}.

### Denominator

### Distributive Property

Multiplication of numbers that distributes over addition and subtraction: a(b ± c) = ab ± ac.### Equations

An expression that states the equivalence of two algebraic expressions.### Equivalent Equations

Different equations that have the same solution(s).### Extraneous Solution

The solution to an equation that is formed in the process of simplifying the original equation (for example, taking the square of a radical equation), but is not a valid solution of the original equation.### Factoring

Breaking up an algebraic expression into two or more expressions that can be multiplied together to get the original expression.### Independent Variable

Variable in a function that assumes a value freely or independently.### Irrational

Any real number that can't be expressed as a fraction \frac{p}{q},*q*≠ 0. Irrational numbers do not have a finite or repeating decimal representation. For example, \sqrt{2}, π, and

*e*are irrational numbers.

### Like Terms

Two terms with the same variables raised to the same exponent. Like terms may have different coefficients.### Monomial

A polynomial with one term.### Multivariable Polynomial

A polynomial with more than one variable.### Polynomial

An algebraic expression constructed from variables and constants using addition subtraction, multiplication, and positive integer exponents.### Quadratic Equation

An equation obtained by setting a quadratic polynomial to zero.### Quadratic Polynomial

A polynomial of degree two.### Radical Equation

An equation with a variable or expression inside a radical.### Radical Sign

The symbol of a square root.### Radicand

### Rationalizing The Denominator

Rewriting the fraction to get rid of the radical in the denominator.### Square

A number raised to the power of two.### Square Root

The inverse operation of squaring a number.### Solution

The value of a variable that satisfies an equation or inequality.### Trinomial

A polynomial with three terms.### Variable

A value that changes. Variables are commonly represented by the letters*x*,

*y*, or

*z*.