Warm up• 1.

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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.

– Π is an irrational number– Nonterminating, nonrepeating

decimals are irrational numbers

Real NumbersAll numbers listed below

IntegersWhole numbers and their opposites …-2,-1,0,1,2,…

Whole Numbers0,1,2,3,…

Natural Numbers

1,2,3…

Irrational NumbersNonterminating, nonrepeating

decimals , √2

Property of Completeness• Every decimal number represents a real

number, and every real number can be represented by a decimal.

Simplifying Radicals

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66Remember – there are two roots for every positive number. The √ sign referring to the positive root unless there is a sign in front of it.

Simplifying Radicals

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Simplifying Radicals

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Practice960

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