In this chapter you will learn how to add and subtract radical expressions,
and also multiply them. When the radicands are similar they can be added
or subtracted in the same procedure that monomials are added or subtracted.
When you multiply radicals with different radicands it is comparable to multiplying binomials. :) Rules, Formulas, and Key Points

Rules:
Simplify radicals and if the radicands are different, they can not be simplified any further.
When multiplying radical equations, you can only multiply the radicands together and the outside numbers together.
When adding and subtracting radical equations, you can only add/subtract them if the radicands are the same number.

In this chapter you will learn how to add and subtract radical expressions,

and also multiply them. When the radicands are similar they can be added

or subtracted in the same procedure that monomials are added or subtracted.

When you multiply radicals with different radicands it is comparable to multiplying binomials. :)

Rules, Formulas, and Key PointsRules:Simplify radicals and if the radicands are different, they can not be simplified any further.

When multiplying radical equations, you can only multiply the radicands together and the outside numbers together.

When adding and subtracting radical equations, you can only add/subtract them if the radicands are the same number.

Formulas:a√c + b√c = a+b√c

Examples:Adding:5√6+3√6=

(5+3)√6=

8√6

Subtracting:7√3-2√3=

(7-2)√3=

5√3

Multiplying:(3√6)(8√2)=

24√12

Links:Adding and Subtracting Radical Expressions

Multiplying and Dividing Radical Expressions

Extra Problems: