Ch. 5 - DOK1 (Inverses and Radical Functions and Relations)

Radicand

• The number which is having its root taken.
• The radical symbol.
• The number that determines the type of root.
• An expression involving a radical.

Principal Root

• The unique nonnegative square root of a nonnegative real number.
• The unique negative square root of a nonnegative real number
• The unique negative square root of a negative real number.
• The unique nonnegative square root of a negative real number.

Rationalizing the Denominator

• The process by which we get rid of all radicals in the numerator by multiplication.
• The process by which we subtract radicals from the denominator
• The process by which we add radicals to the denominator.
• The process by which we get rid of all radicals in the denominator via multiplication.

Like Radical Expressions

• Like radicals are radicals that have a different root number AND radicand (expression under the root).
• Like radicals are radicals that have the same root number but not the same radicand (expression under the root).
• Like radicals are radicals that have the same root number AND radicand (expression under the root).
• Like radicals are radicals that have a different root number but the same radicand (expression under the root).

Conjugate

• A math conjugate is formed by changing the sign between two terms in a binomial.
• A math conjugate is formed by keeping the same sign between two terms in a binomial.
• A math conjugate is formed by multiplying two binomials.
• A math conjugate is formed by dividing two binomials.

Radical Equation

• A radical equation is an equation that is really good at surfing.
• A radical equation has no radicals within it.
• A radical equation is an equation in which a variable is outside of a radical.
• A radical equation is an equation in which a variable is under a radical

Extraneous Solution

• In mathematics, an extraneous solution (or spurious solution) is a solution, such as that to an equation, that emerges as the 
• An extraneous solution shows when the equation is valid.
• An extraneous solution satisfies the original equation.
• In mathematics, an extraneous solution (or spurious solution) is a solution, such as that to an equation, that emerges from the process of solving the problem but is not a valid solution to the problem.

Radical Inequality

• An inequality involving a variable under a radical.
• An inequality involving a variable outside of a radical.
• An equation involving a variable outside of a radical.
• An equation involving a variable under a radical.

Composition of Functions

• Finding the product of functions.
• Finding the quotient of functions.
• Applying one function to the results of another function.
• Finding the sum of functions.

Inverse Relation

• The relation that occurs when the order of the elements is switched in the relation.
• The relations that occurs when the order of the elements is kept the same in the relation.
• The relation that occurs when the elements are written as opposites in the relation.
• The relation that occurs when the elements are composed of other elements of the relation.