Squares and Square Roots Terms
Get down with the lingo
ConjugateRadical expressions that are identical except for the plus/minus sign in the middle. Expressions like (a + b) and (a – b) are conjugates. They're sort of the evil twins of the math world.
Distributive PropertyMultiplication of numbers that distributes over addition and subtraction: a(b ± c) = ab ± ac.
EquationsAn expression that states the equivalence of two algebraic expressions.
Equivalent EquationsDifferent equations that have the same solution(s).
Extraneous SolutionA solution to an equation that's 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. These guys are the worst: they seem like legit solutions when we solve for our variable, but then they run away and scream, "Not!" when we try to plug them back into the equation.
FactoringBreaking up an algebraic expression into two or more expressions that can be multiplied together to get the original expression.
Like TermsTwo terms with the exact same radical. If the stuff inside the radical (the radicand) matches, we can combine those terms just like we do with like variables.
Principal Square RootThe positive square root of a number. Way more useful in real-life situations than their negative brethren.
Pythagorean TheoremThe fact that the sum of the squares of a right triangle's legs is equal to the square of its hypotenuse. Or as most people would prefer to remember it, a2 + b2 = c2.
Quadratic EquationAn equation obtained by setting a quadratic polynomial equal to zero. We can solve these beasts by factoring, completing the square, or busting out the quadratic formula.
Quadratic FormulaA formula for finding the roots of a quadratic equation:
Quadratic PolynomialA polynomial of degree two.
Radical EquationAn equation with a variable that's contained inside a radical symbol. Usually seen toting around a skateboard and wearing a backwards ball cap.
Radical SignThe symbol of a square root. It sort of looks like a really elaborate check mark: √.
RadicandThe value inside the radical symbol. For example, 5 is the radicand of .
Rationalizing The DenominatorRewriting the fraction to get rid of the radical in the denominator.
SquareA number raised to the power of two.
Square RootThe inverse operation of squaring a number.
SolutionValues that we can plug into a variable in an equation that make the equation true. Got a problem? Find the solution.
VariableA value that changes. Variables are commonly represented by the letters x, y, or z.
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