1. Date: Topic: Simplifying Radicals (9.1) Warm-up:Find the square root. 1.2.3. Simplify the radical: 4.5.6.

2. Rules about Radicals If x and y are non-negative numbers, then: If a and b are non-negative numbers, and b ≠ 0, then: Example:

3. 2 2 2 Simplifying Radicals There are two ways to simplify radicals: 1. Dividing down 2. Finding perfect squares Dividing DownFinding Perfect Squares 40 20 10 5 perfect square

4. Multiplying Radicals Multiply the numbers outside of the radicals Multiply the numbers inside the radicals Example:

5. Example: Multiply the radicals

6. Example: Square the radicals OR

7. Fractions with Radicals Example: When a radical is in the denominator, we must rationalize the denominator of the fraction. To do this, we multiply the fractions’ numerator and denominator by the radical in the denominator.

8. Example: Simplify the rational and be sure to rationalize the denominator.