Simplify the radical term. What is the coefficient and radicand of the simplified form?
Answer
, coefficient 21, radicand 2
Example 2
Simplify the radical term. What is the coefficient and radicand of the simplified form?
Answer
already simplified, coefficient 3, radicand 3
Example 3
Simplify the radical term. What is the coefficient and radicand of the simplified form?
Answer
, coefficient 8, radicand 3
Example 4
Simplify the radical term. What is the coefficient and radicand of the simplified form?
Answer
, coefficient , radicand 6
Example 5
Simplify the radical term. What is the coefficient and radicand of the simplified form?
Answer
, coefficient , radicand 21
Example 6
Can the following be written as like terms?
and
Answer
They're already like terms.
Example 7
Can the following be written as like terms?
and
Answer
These can be written respectively as and , which are like terms. Ah, the ol' double-simplify maneuver. Don't try this at home. Actually, this is perfectly safe to try at home. In fact, we encourage it.
Example 8
Can the following be written as like terms?
and
Answer
These can't be written as like terms. Each term is already simplified, and they don't have the same radicand.
Example 9
Can the following be written as like terms?
and
Answer
These can be written respectively as and , which are like terms.
Example 10
Can the following be written as like terms?
and
Answer
These simplify to and , respectively. These are not like terms.
Example 11
Can the following be written as like terms?
and
Answer
Can't be written as like terms. Sorry, Charlie.
Example 12
Can the following be written as like terms?
and
Answer
Yep, they can be written as like terms: and .
Example 13
Can the following be written as like terms?
and
Answer
Yep: and .
Example 14
Can the following be written as like terms?
and
Answer
These dudes simplify to and , so nope, we can't write them as like terms.
Example 15
Can the following be written as like terms?
and
Answer
They can indeed; the second term simplifies to , which has the same radicand as the first term. Aw yeah.
, coefficient 21, radicand 2
, coefficient 8, radicand 3
, coefficient 
, radicand 6
, coefficient 
, radicand 21
and 
and 
and 
, which are like terms. Ah, the ol' double-simplify maneuver. Don't try this at home. Actually, this is perfectly safe to try at home. In fact, we encourage it.
and 
and 
and 
, which are like terms.
and 
and 
, respectively. These are not like terms.
and 
and 
and 
.
and 
and 
.
and 
and 
, so nope, we can't write them as like terms.
and 
, which has the same radicand as the first term. Aw yeah.
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