Table of contents
- 0. Review of Algebra4h 16m
- 1. Equations & Inequalities3h 18m
- 2. Graphs of Equations43m
- 3. Functions2h 17m
- 4. Polynomial Functions1h 44m
- 5. Rational Functions1h 23m
- 6. Exponential & Logarithmic Functions2h 28m
- 7. Systems of Equations & Matrices4h 6m
- 8. Conic Sections2h 23m
- 9. Sequences, Series, & Induction1h 19m
- 10. Combinatorics & Probability1h 45m
0. Review of Algebra
Radical Expressions
1:28 minutes
Problem 68c
Textbook Question
Textbook QuestionUse the rules for radicals to perform the indicated operations. Assume all variable expressions represent positive real numbers. ⁵√∛9
Verified Solution
This video solution was recommended by our tutors as helpful for the problem above
Video duration:
1mPlay a video:
Was this helpful?
Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Radical Expressions
Radical expressions involve roots, such as square roots, cube roots, and higher-order roots. They are represented using the radical symbol (√) or fractional exponents. Understanding how to manipulate these expressions is crucial for performing operations like addition, subtraction, multiplication, and division involving radicals.
Recommended video:
Guided course
05:45
Radical Expressions with Fractions
Properties of Exponents
The properties of exponents govern how to simplify expressions involving powers and roots. Key rules include the product of powers, quotient of powers, and power of a power. These properties are essential when converting between radical and exponential forms, especially when dealing with multiple roots.
Recommended video:
Guided course
04:06
Rational Exponents
Simplifying Radicals
Simplifying radicals involves reducing radical expressions to their simplest form. This includes factoring out perfect squares or cubes from under the radical sign and rewriting the expression using exponents. Mastery of this concept allows for easier computation and clearer expression of radical values.
Recommended video:
Guided course
5:48
Adding & Subtracting Unlike Radicals by Simplifying
Related Videos
Related Practice