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Warm up

Warm up. 1. 2. . Lesson 11-4 Irrational Square Roots. Objective : To simplify radicals and to find decimal approximations of irrational square roots. Irrational Numbers . Irrational numbers are real numbers that cannot be expressed in the form a/b when a and b are integers.

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Warm up

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  1. Warm up • 1. • 2.

  2. Lesson 11-4 Irrational Square Roots Objective : To simplify radicals and to find decimal approximations of irrational square roots.

  3. Irrational Numbers • Irrational numbers are real numbers that cannot be expressed in the form a/b when a and b are integers. • Π is an irrational number • Nonterminating, nonrepeating decimals are irrational numbers

  4. Property of Completeness • Every decimal number represents a real number, and every real number can be represented by a decimal.

  5. Simplifying Radicals Remember – there are two roots for every positive number. The √ sign referring to the positive root unless there is a sign in front of it.

  6. Simplifying Radicals

  7. Simplifying Radicals

  8. Practice

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