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Squares and Square Roots

Squares and Square Roots

Squares and Square Roots Terms

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The result of multiplying a binomial (a + b) by (ab) to obtain a2b2.


Distributive Property

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


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.


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

Independent Variable


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.


A polynomial with one term.

Multivariable Polynomial

A polynomial with more than one variable.


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.


Rationalizing The Denominator

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


A number raised to the power of two.

Square Root

The inverse operation of squaring a number.



A polynomial with three terms.


A value that changes. Variables are commonly represented by the letters x, y, or z.

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