Adding and Subtracting Radical Expressions - Concept

Concept 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.

Sample Sample Problems (9)

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Adding and Subtracting Radical Expressions - Problem 1

Simplify:

8√3 − 5√3 + 10√3
Problem 1
How to add and subtract radical expressions with like radicands.
Adding and Subtracting Radical Expressions - Problem 2

Simplify:

4√5 − 3√45 + 10√80
Problem 2
How to add and subtract radical expressions when the radicands need to be simplified.
Adding and Subtracting Radical Expressions - Problem 3

Simplify:

125x + 4√20x − 3√45x
Problem 3
How to add and subtract radical expressions when there are variables in the radicand.
Adding and Subtracting Radical Expressions - Problem 4

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.
Adding and Subtracting Radical Expressions - Problem 5
Problem 5
Adding and subtracting radical expressions that have variables as well as integers in the radicand.
Adding and Subtracting Radical Expressions - Problem 6
Problem 6
Adding and Subtracting radicals involving simplifying first, but no variables.
Adding and Subtracting Radical Expressions - Problem 7
Problem 7
Geometry applications of adding and subtracting radical expressions, including areas and perimeters of basic shapes.
Adding and Subtracting Radical Expressions - Problem 8
Problem 8
Simplifying fractions that have unsimplified radicals in the numerators.
Adding and Subtracting Radical Expressions - Problem 9
Problem 9
Adding and Subtracting radicals involving variables.