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Chapter 7.1
Square and square roots
What You'll Learn
Calculate the square of a number by multiplying it by itself
Find the square root by identifying two identical factors of a number
Use prime factorization to determine square roots when perfect squares aren't memorized
Distinguish between negatives outside versus inside the radical symbol
Recognize when square roots have no solution due to negative radicands
What You'll Practice
1
Finding square roots of perfect squares like 64, 225, and 676
2
Using prime factorization to simplify square roots step-by-step
3
Evaluating expressions with negatives outside the radical
4
Identifying undefined square roots with negatives inside the radical
Why This Matters
Mastering squares and square roots is essential for algebra, geometry, and beyond. You'll use these skills to solve quadratic equations, work with the Pythagorean theorem, and handle scientific notation in physics and engineering applications.
Before You Start — Make Sure You Can:
This Unit Includes
4 Video lessons
Practice exercises
Learning resources
Skills
Square Roots
Perfect Squares
Prime Factorization
Radicals
Squaring Numbers
Even Roots
Simplification
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