##### Created by:

mrsbossie  on October 30, 2011

##### Description:

terminology related to rational expressions.

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#### Definitions

radicand the number inside the radical sign √ ← under the line.
vinculum a horizontal line placed over a mathematical expression, used to indicate that it is to be considered a group
index the number over the radical sign √ indicating the root of the radicand.
root a number indicating the number of repetitive factors needed to obtain the radicand, ie. square root (xx) cube root (xxx).
roots vs radicals these terms are opposites and are used to solve equations or inequalities containing them. The square root of 9 is the opposite of 3 squared or (-3) squared.
the sum of radical expressions can be obtained if and only if the radicands are the same.
The product of a radical expressions can be obtained by multiplying the radicands of each radical expression.
√(8) times √(2) =√(8)(2) = √16 = 4
simplifying radicals (square roots only) 1. divide the number inside the radical into two factors, one of which is a perfect square
2. square root the perfect square
3. leave the non-perfect square under the radical
How can radical expressions be written without a radical sign? Change the root to a fraction with the root as the denominator and any exponents on a radicand as the numerator.

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