Cashill--Combining Radical Terms

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Combine radical like terms

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Slide 1: 

Combining Radical Terms

What is a radical term? : 

It is a term which contains a radical. What is a radical term?

But what is a radical? : 

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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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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Practice combining radical terms:

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