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Published byGary Nicholson Modified over 9 years ago
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What is a radical term? It is a term which contains a radical.
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But what is a radical? A radical is another name for a square root.
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Okay—so a radical term...... is an term that contains a radical, or square root. Look! There goes one now!
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Consider these two expressions:
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What makes them different?What do they have in common?
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You may have noticed that the two expressions are really the same, if...
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If what? Under what condition would the two expressions be identical?
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The two expressions are identical when
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That means since you already know how to simplify the first expression...
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... then you also know how to simplify the radical expression.
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The rules that apply to combining like terms
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also apply to combining radical terms.
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You can only combine radical terms when the radicands are identical. When what are identical? What is a radicand?
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The radicand is the number underneath the square root sign.
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When two (or more) terms have exactly the same radicand,
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we call them like radical terms, and we can combine them.
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But when the radicands are not identical...
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... the terms cannot be combined.
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Practice combining radical terms:
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