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Combining Radical Terms
1.
Combining Radical Terms
2.
It is a
term which contains a radical. What is a radical term?
3.
But what is
a radical? A radical is another name for a square root.
4.
Okay—so a radical
term . . . . . . is an term that contains a radical, or square root. Look! There goes one now!
5.
Consider these two
expressions:
6.
What makes them
different? What do they have in common?
7.
You may have
noticed that the two expressions are really the same, if . . .
8.
If what? Under
what condition would the two expressions be identical?
9.
The two expressions
are identical when
10.
That means since
you already know how to simplify the first expression . . .
11.
. . .
then you also know how to simplify the radical expression .
12.
The rules that
apply to combining like terms
13.
also apply to
combining radical terms.
14.
also apply to
combining radical terms.
15.
You can only
combine radical terms when the radicands are identical. When what are identical? What is a radicand?
16.
The radicand is
the number underneath the square root sign.
17.
When two (or
more) terms have exactly the same radicand,
18.
we call them
like radical terms , and we can combine them .
19.
But when the
radicands are not identical . . .
20.
. . .
the terms cannot be combined.
21.
Practice combining
radical terms:
22.
Practice combining
radical terms:
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