Review Square Root Rules Chapter 9 Review Square Root Rules

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

Positive Square Roots Examples:

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

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.

Writing a Square Root in Exponential Form

Section 9.2 Product Rule of Square Roots

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

Simplify Example

Square Root of a Perfect Square

Section 9.4 Quotient Rule of Square Roots

Quotient Rule of Square Roots

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