### Concept (1)

Simplifying rational expressions combines everything learned about factoring common factors and polynomials. When **simplifying rational functions**, factor the numerator and denominator into terms multiplying each other and look for equivalents of one (something divided by itself). Include parenthesis around any expression with a "+" or "-" and if all terms cancel in the numerator, there is still a one there.

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Sample Problems
(9)

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Simplify:

3√x + y√x + 2√y²x

###### Problem 4

How to add and subtract radical expressions when there are variables in the radicand and the radicands need to be simplified.

###### Problem 5

Adding and subtracting radical expressions that have variables as well as integers in the radicand.

###### Problem 6

Adding and Subtracting radicals involving simplifying first, but no variables.

###### Problem 7

Geometry applications of adding and subtracting radical expressions, including areas and perimeters of basic shapes.

###### Problem 8

Simplifying fractions that have unsimplified radicals in the numerators.

###### Problem 9

Adding and Subtracting radicals involving variables.