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

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Presentation transcript:

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

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:

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

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

Example: Multiply the radicals

Example: Square the radicals OR

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.

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