25 terms

i tried doing as much of the squared stuff as possible but i couldnt do most of those terms

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