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# Algebra

### Chapter 10

TermDefinition
Radical Sign the symbol which is used to represent a square root
Radicand the number or expression under a radical sign
Quotient Property of Square Roots the square root of a quotient equals the quotient of the square root of the numerator and denominator
Square Root Equation an equation that contains a square root with a variable in the radicand
Square Root Function a function that contains a square root with the independent variable in the radicand
Simplest Form of a Radical Expression a radical expression that has no perfect square factors other than 1 in the radicand, no fractions in the radicand, and no radicals appearing in the denominator of a faction
Rationalizing the Denominator the process of eliminating a radical from the denominator of an expression by multiplying the expression by an appropriate form of 1
Conjugates used to simplify radical expressions that involve a sum or difference of radicals in the denominator
Extraneous Solution a solution of a transformed equation that is not a solution of the original equation
Theorum a rule in mathematics
Legs the two sides of a right triangle that form the right angle
Hypotenuse the side of a right triangle that is opposite the right angle
Pythagorean Theorem in any right triangle, the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse
Distance Formula the distance (d) between any two points (x1,y1) & (x2,y2) is given by the formula