radical expressions
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Created by:
mrsbossie on October 30, 2011
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Description:
terminology related to rational expressions.
Classes:
★★★THE COOLEST STUDY GROUP EVER!★★★, Algebra1 2011-12, Algebra 3 2011-2012, Algebra 5 2011-12, Algebra 6 2011-12, Algebra 6 2011-12 (see more)
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10 terms
Terms | 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). |
radical | the check mark part of the radical expression, √ . |
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 square2. 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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