ch 8 math vocab
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Created by:
12jferguson2 on March 11, 2009
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i tried doing as much of the squared stuff as possible but i couldnt do most of those terms
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25 terms
Terms | Definitions |
|---|---|
 radicand | number or variable expression under a radical symbol |
| radical | the radical symbol and the radicand is this.. |
| radical expression | expression containing a radical |
| perfect sqaure | square of some rational number ex: -16, 1, .36, 4/9 |
| period a pendulum | time required for the pendulum to swing back and forth to complete ONE cycle |
| imaginary numbers | not real numbers, dont correspond to any point on the number line |
| sqaure roots | 1. if b is a perfect square then b is rational 2. if b is a positive number then (b squared) is irrational 3. if b is negative number, then (b squared) is not a real number |
| distance formula | distance-d-between the points with coordinates (x1, y1) and (x2, y2) d= (sqaured.) ( x2-x1)2 + (y2-y1)2 |
| product rule for square roots | the sq root of the product of two nonnegative is equal to the product of their square roots |
| simplified form of a sq root | 1. except for 1, the radicand has no perfect square factors 2. no fraction appears in the radicand 3. no radicand appears in the denominator |
| simplifying sq roots | 1. write the radicand as a product of the greatest perfect sqaure factor and one other factor. 2. use the product rule for square roots to write the expression as a product of sq roots 3. find the sq root of the perfect sq factor |
| natural number perfect sqaures | 1,4,9,16,25... |
| the quotation rule of sq roots | the sq root of the quotient of two numbers is equal to the quotient of their square roots |
| like radicals | square root radicals when they have the same radicand 9-6 and 4-6..not 9-6 and 9-5 |
| the product rule for sq roots | the product of the sq roots of two nonnegative numbers is equal to the square root of the product of those numbers |
| the sq of a sq root | for any positive real number a--(sqed a)2 = a! |
| the quotient rule for sq roots | the quotient of two numbers is equal to the square root of the quotient of the two numbers |
| rationalizing the denominator | process in which we change the denominator from a radical that represents an irrational number to a rational number |
| rationalizing denominators | to rationalize a square root denominator, mulitply the numerator and denominator of the given fraction by the sq root that appears in its denominator, or by a sq root that makes a perfect sq radicand in the denominator |
| conjucate binomials | if a and b are real numbers, then a + b and a-b and are called.. |
| squaring property of equality | if two numbers are equal, their sqaures are equal. |
| radical equation | is an equation that contains a variable in a radicand |
| solving radical equations | 1. Isolate a radical term on one side of the equation 2. Square both sides of the equation 3. Solve the resulting equation 4. Check the possible solutions in the original equation. This step is required |
| cube root | b of the number a when b is squared 3 times to = a |
| index | the number n of the radical |
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