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.

Slide 4: 

Okay—so a radical term . . . . . . is an term that contains a radical, or square root. Look! There goes one now!

Slide 5: 

Consider these two expressions:

Slide 6: 

What makes them different? What do they have in common?

Slide 7: 

You may have noticed that the two expressions are really the same, if . . .

Slide 8: 

If what? Under what condition would the two expressions be identical?

Slide 9: 

The two expressions are identical when

Slide 10: 

That means since you already know how to simplify the first expression . . .

Slide 11: 

. . . then you also know how to simplify the radical expression .

Slide 12: 

The rules that apply to combining like terms

Slide 13: 

also apply to combining radical terms.

Slide 14: 

also apply to combining radical terms.

Slide 15: 

You can only combine radical terms when the radicands are identical. When what are identical? What is a radicand?

Slide 16: 

The radicand is the number underneath the square root sign.

Slide 17: 

When two (or more) terms have exactly the same radicand,

Slide 18: 

we call them like radical terms, and we can combine them .

Slide 19: 

But when the radicands are not identical . . .

Slide 20: 

. . . the terms cannot be combined.

Slide 21: 

Practice combining radical terms:

Slide 22: 

Practice combining radical terms: