1. Review Square Root Rules
Chapter 9
Review
Square Root Rules

2. Section 9.1 Positive Square Roots
Positive square root or principle square root of a number (a) is written as
Also, The square root of 0 is written

3. Positive Square Roots
Examples:

4. Negative Square Roots Negative square roots are not real numbers
Example:

5. Perfect Squares
The numbers 1, 4, 9, 16, 25, 36, 49, … are perfect squares because each number is a square of a natural number.
See page 536 for a list of the first 20 perfect squares.

6. Writing a Square Root in Exponential Form

7. Section 9.2 Product Rule of Square Roots

8. To Simplify the Square Root of a Constant
Write the constant as a Product of the largest perfect square factor and another factor
Use the product rule to write the expression as a product of square roots, with each square root containing one of the factors
Find the square root of the perfect square factor

9. Simplify
Example

10. Square Root of a Perfect Square

11. Section 9.4 Quotient Rule of Square Roots

12. Quotient Rule of Square Roots

13. A Square Root is Simplified When
No radicand has a common factor that is a perfect square.
No radicand contains a fraction
No denominator contains a square root