Combining Radical Terms
-
Upload
cashill -
Category
Technology
-
view
12.683 -
download
2
description
Transcript of Combining Radical Terms
![Page 1: Combining Radical Terms](https://reader036.fdocuments.us/reader036/viewer/2022062615/54840d8ab47959050d8b4add/html5/thumbnails/1.jpg)
![Page 2: Combining Radical Terms](https://reader036.fdocuments.us/reader036/viewer/2022062615/54840d8ab47959050d8b4add/html5/thumbnails/2.jpg)
It is a term which contains a radical.
What is a radical term?
![Page 3: Combining Radical Terms](https://reader036.fdocuments.us/reader036/viewer/2022062615/54840d8ab47959050d8b4add/html5/thumbnails/3.jpg)
But what is a radical?
A radical is another name for a square root.
![Page 4: Combining Radical Terms](https://reader036.fdocuments.us/reader036/viewer/2022062615/54840d8ab47959050d8b4add/html5/thumbnails/4.jpg)
Okay—so a radical term . . .
. . . is an term that contains a radical, or square root.
Look! There goes one now!
117
![Page 5: Combining Radical Terms](https://reader036.fdocuments.us/reader036/viewer/2022062615/54840d8ab47959050d8b4add/html5/thumbnails/5.jpg)
2327
xx 37
Consider these two expressions:
![Page 6: Combining Radical Terms](https://reader036.fdocuments.us/reader036/viewer/2022062615/54840d8ab47959050d8b4add/html5/thumbnails/6.jpg)
What makes them different?What do they have in common?
2327
xx 37
![Page 7: Combining Radical Terms](https://reader036.fdocuments.us/reader036/viewer/2022062615/54840d8ab47959050d8b4add/html5/thumbnails/7.jpg)
You may have noticed that the two expressions are really the
same, if . . .
2327
xx 37
![Page 8: Combining Radical Terms](https://reader036.fdocuments.us/reader036/viewer/2022062615/54840d8ab47959050d8b4add/html5/thumbnails/8.jpg)
If what?Under what condition would the
two expressions be identical?
2327
xx 37
![Page 9: Combining Radical Terms](https://reader036.fdocuments.us/reader036/viewer/2022062615/54840d8ab47959050d8b4add/html5/thumbnails/9.jpg)
The two expressions are identical when
2x
2327
xx 37
![Page 10: Combining Radical Terms](https://reader036.fdocuments.us/reader036/viewer/2022062615/54840d8ab47959050d8b4add/html5/thumbnails/10.jpg)
That means since you already know how to simplify the first
expression . . .
x10
2327
xx 37
![Page 11: Combining Radical Terms](https://reader036.fdocuments.us/reader036/viewer/2022062615/54840d8ab47959050d8b4add/html5/thumbnails/11.jpg)
. . . then you also know how to simplify the radical expression .
x10
2327
xx 37
210
![Page 12: Combining Radical Terms](https://reader036.fdocuments.us/reader036/viewer/2022062615/54840d8ab47959050d8b4add/html5/thumbnails/12.jpg)
The rules that apply to combining like terms
xyxy 524 yx 53
![Page 13: Combining Radical Terms](https://reader036.fdocuments.us/reader036/viewer/2022062615/54840d8ab47959050d8b4add/html5/thumbnails/13.jpg)
also apply to combining radical terms.
7347239
35
![Page 14: Combining Radical Terms](https://reader036.fdocuments.us/reader036/viewer/2022062615/54840d8ab47959050d8b4add/html5/thumbnails/14.jpg)
also apply to combining radical terms.
7347239
35 73
![Page 15: Combining Radical Terms](https://reader036.fdocuments.us/reader036/viewer/2022062615/54840d8ab47959050d8b4add/html5/thumbnails/15.jpg)
You can only combine radical terms when the radicands are
identical. When what are identical?
What is a radicand?
![Page 16: Combining Radical Terms](https://reader036.fdocuments.us/reader036/viewer/2022062615/54840d8ab47959050d8b4add/html5/thumbnails/16.jpg)
The radicand is the number underneath the square root sign.
n
![Page 17: Combining Radical Terms](https://reader036.fdocuments.us/reader036/viewer/2022062615/54840d8ab47959050d8b4add/html5/thumbnails/17.jpg)
When two (or more) terms have exactly the same radicand,
nn 64
![Page 18: Combining Radical Terms](https://reader036.fdocuments.us/reader036/viewer/2022062615/54840d8ab47959050d8b4add/html5/thumbnails/18.jpg)
nnn 264
we call them like radical terms, and we can combine them .
nn 64
![Page 19: Combining Radical Terms](https://reader036.fdocuments.us/reader036/viewer/2022062615/54840d8ab47959050d8b4add/html5/thumbnails/19.jpg)
But when the radicands are not identical . . .
6372
![Page 20: Combining Radical Terms](https://reader036.fdocuments.us/reader036/viewer/2022062615/54840d8ab47959050d8b4add/html5/thumbnails/20.jpg)
. . . the terms cannot be combined.
6372 6372
![Page 21: Combining Radical Terms](https://reader036.fdocuments.us/reader036/viewer/2022062615/54840d8ab47959050d8b4add/html5/thumbnails/21.jpg)
Practice combining radical terms:
5554 5
![Page 22: Combining Radical Terms](https://reader036.fdocuments.us/reader036/viewer/2022062615/54840d8ab47959050d8b4add/html5/thumbnails/22.jpg)
Practice combining radical terms:
263923
3923