Presentation Transcript
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: