Combining Radical Expressions
Reference > Mathematics > Algebra > Simplifying RadicalsIn the first section, we talked about the importance of simplifying radical expressions, and there's a reason for doing this that we didn't mention then: writing radical expressions in simplest form may allow us to combine terms and simplify an expression even more.
Take the following expression as an example:


This expression can be simplified by first simplifying each individual term:









2

































(1 + 7)


8



3
8x4
3
27x4When we simplify each of these, we obtain:
2x
3
x
3
x
3
xQuestions
1.
Simplify
10 +
40


2.
Simplify
x +
9x


3.
Simplify
5 +
20 +
18 +
50




4.
Simplify
+ 

3
16
3
1285.
Simplify
- 

4
81x5
4
x5
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