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10-2 Simplifying Radicals

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

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  1. 10-2 Simplifying Radicals Objective: To simplify radicals involving products and quotients.

  2. 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.

  3. 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

  4. 10-2 Simplifying Radicals • When is a radical simplified???? • 2. The radicand has no fractions

  5. 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.

  6. 10-2 Simplifying Radicals • Example 1: Simplify

  7. 10-2 Simplifying Radicals • Example 2: Simplify

  8. 10-2 Simplifying Radicals • Example 3: Multiply then simplify • 2 ∙ 3

  9. 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. 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?

  11. 10-2 Simplifying Radicals • Example 5: Simplify

  12. 10-2 Simplifying Radicals • Homework: P. 623 11 - 47 odds

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