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10-2 Simplifying Radicals. Objective: To simplify radicals involving products and quotients. 10-2 Simplifying Radicals. When is a radical simplified???? 1. The radicand has NO PERFECT squares factors . IGNORE the factor one (its always there) 2. The radicand has no fractions
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10-2 Simplifying Radicals Objective: To simplify radicals involving products and quotients.
10-2 Simplifying Radicals • When is a radical simplified???? • 1. The radicand has NO PERFECT squares factors. IGNORE the factor one (its always there) • 2. The radicand has no fractions • 3. No radicals in the denominator of fraction.
10-2 Simplifying Radicals • When is a radical simplified???? • 1. The radicand has NO PERFECT squares factors. IGNORE the factor one (its always there) • 3 • 3 ∙ • 3 ∙ • 3 ∙ 2 ∙ = 6
10-2 Simplifying Radicals • When is a radical simplified???? • 2. The radicand has no fractions
10-2 Simplifying Radicals • When is a radical simplified???? • 3. No radicals in the denominator of fraction. • Rationalize the denominator by multiplying top and bottom by it.
10-2 Simplifying Radicals • Example 1: Simplify
10-2 Simplifying Radicals • Example 2: Simplify
10-2 Simplifying Radicals • Example 3: Multiply then simplify • 2 ∙ 3
10-2 Simplifying Radicals • Example 4: A rectangular door in a museum is three times as tall as it is wide. What is the simplified expression for the maximum length of a painting that fits through the door?
10-2 Simplifying Radicals • Example 4: A rectangular door in a museum is three times as tall as it is wide. What is the simplified expression for the maximum length of a painting that fits through the door?
10-2 Simplifying Radicals • Example 5: Simplify
10-2 Simplifying Radicals • Homework: P. 623 11 - 47 odds