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

College Algebra

0. Review of Algebra

Radical Expressions

0:56 minutes

Problem 35a

Textbook Question

Find each root. √12²

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Square Root

The square root of a number is a value that, when multiplied by itself, gives the original number. For example, the square root of 9 is 3, since 3 × 3 = 9. In this question, we are looking for the square root of 12 squared, which simplifies the calculation.

Exponentiation

Exponentiation is a mathematical operation involving two numbers, the base and the exponent. The exponent indicates how many times the base is multiplied by itself. In this case, 12² means 12 multiplied by itself, which equals 144, and is essential for finding the square root in the next step.

Simplifying Expressions

Simplifying expressions involves reducing them to their most basic form. This can include combining like terms, factoring, or applying operations such as square roots. In this question, simplifying √(12²) leads to finding the square root of 144, which is a straightforward calculation.