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Chapter 10 Math
| Term | Definition |
|---|---|
| radical sign | the symbol which is used to represent a square root |
| radicand | the number under a radical sign |
| quotient property of square roots | the square root of a quotient equals the quotient of the square roots of the numerator and denominator |
| square root equation | an equation that contains a square root with a variable in the radical |
| square root function | a function that contains a square root with a variable in the radicand |
| simplest form of a radical expression | a radical expression that has no perfect square factors other than 1, no fractions, and no radicals appearing in the denominator of a fraction in the radiacand |
| 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. |
| theorem | a rule in mathematics |
| legs | the two sides o 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 is given by the formula |