Simplifying Radical Expressions - Concept

Concept Concept (1)

We have rational functions whenever we have a fraction that has a polynomial in the numerator and/or in the denominator. An excluded value in the function is any value of the variable that would make the denominator equal to zero. To find the domain, list all the values of the variable that, when substituted, would result in a zero in the denominator.

Sample Sample Problems (10)

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Simplifying Radical Expressions - Problem 1

Simplify:

120
Problem 1
How to simplify radicands that are whole numbers.
Simplifying Radical Expressions - Problem 2
Problem 2
Two methods for simplifying radical expressions that do not have variables.
Simplifying Radical Expressions - Problem 3
Problem 3
Simplifying radicals in the context of using the Pythagorean Theorem to find a missing side length of a right triangle.
Simplifying Radical Expressions - Problem 4
Problem 4
Simplifying radical expressions with integers and variables by re-writing with perfect square factors.
Simplifying Radical Expressions - Problem 5
Problem 5
Simplifying division of radical expressions where both terms are roots of perfect squares.
Simplifying Radical Expressions - Problem 6
Problem 6
Introduction to radicals, including notation, square root, cube roots, principal roots, and square roots of perfect squares.
Simplifying Radical Expressions - Problem 7
Problem 7
Simplifying radicals in the Pythagorean Theorem.
Simplifying Radical Expressions - Problem 8
Problem 8
Exact, simple radical form answers versus decimal approximations from rounding on a calculator.
Simplifying Radical Expressions - Problem 9
Problem 9
Re-writing radical monomials as terms with fractional exponents.
Simplifying Radical Expressions - Problem 10
Problem 10
Simplifying fractions with a radical binomial in the numerator, maintaining simple radical form.