Alg 2 - Unit 6 - Radicals / Rational Exponents

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Last updated 2:23 PM on 6/3/26
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12 Terms

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Radical

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Radicand

the number under the radical sign

<p>the number under the radical sign</p>
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Index

The the index the root being taken

<p>The the index the root being taken</p>
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Like Radicals

Must have the same index and the same radicand

<p>Must have the same index and the same radicand</p>
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Evaluate

to find the value of an expression

<p>to find the value of an expression</p>
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Simplify

to rewrite an expression in simplest form

<p>to rewrite an expression in simplest form</p>
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Rational Exponent

A fractional exponent where the numerator indicates the exponent of the radicand and the denominator indicates the index.

<p>A fractional exponent where the numerator indicates the exponent of the radicand and the denominator indicates the index.</p>
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Rationalize

rewrite a fraction so that there are no radicals or i in any denominator and no fractions/decimals as the radicand

<p>rewrite a fraction so that there are no radicals or i in any denominator and no fractions/decimals as the radicand</p>
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Conjugates

The sum and the difference of the same two terms

<p>The sum and the difference of the same two terms</p>
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Isolate

To get the radical on the left side of the equation by itself

<p>To get the radical on the left side of the equation by itself</p>
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Solve

to find the answer to a problem; what the variable equals to make the equation true

<p>to find the answer to a problem; what the variable equals to make the equation true</p>
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extraneous solution

a solution that does not satisfy the original equation; the answer does not check

<p>a solution that does not satisfy the original equation; the answer does not check</p>