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10 terms

radical expressions

terminology related to rational expressions.
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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 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.