Level 178
Level 180

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## Ignore words

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radical expressions

expressions which contain a radical, i.e., a square root

simplest radical form

all three are true: 1) radicand has no perfect-square factors other than 1; 2) radicand has no fractions; 3) denominator of a fraction has no radical

Radicand

the expression under a radical sign

rationalize a denominator containing a single radical term

multiply the numerator and denominator by the same radical expression

conjugates

the sum or difference of the same two terms

rationalize a denominator containing a sum or difference

multiply the numerator and denominator by the conjugate of the denominator

like radicals

radical expressions which have the same radicand

unlike radicals

radical expressions which do not have the same radicand

radical equation

an equation that has a variable in a radicand

extraneous solution

a solution to a radical equation that does not satisfy the original equation

square root function

a function that contains the independent variable in the radicand

sine of an angle

length of opposite leg/length of the hypotenuse

cosine of an angle

length of adjacent leg/length of the hypotenuse

tangent of an angle

length of opposite leg/length of the adjacent leg

trigonometric ratio

ratios of the sides of a right triangle, including sine, cosine and tangent

angle of elevation

The angle above horizontal that an observer must look to see an object that is higher than the observer. Note: The angle of elevation is congruent to the angle of depression due to the alternate interior angles theorem

angle of depression

The angle below horizontal that an observer must look to see an object that is lower than the observer. Note: The angle of depression is congruent to the angle of elevation due to the alternate interior angles theorem