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9-1 Square Roots and the Pythagorean Theorem The square of 7 is 7 2 = 49 Also,( -7) 2 =49 The reverse of the square of a number is the square root of a number. The square root of a number is one of its equal factors. The square of 7 is 7 2 = 49 Also,( -7) 2 =49 The reverse of the square of a number is the square root of a number. The square root of a number is one of its equal factors.

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All positive real #’s have 2 sq. roots. The positive sq.root is called the principal root, and the other is the negative sq. root. Sq. roots are written with the radical symbol. The # inside is called the radicand. (read plus or minus) is used to write both sq. roots of a positive #. Perfect squares- #’s whose sq. roots are integers. Irrational #’s- sq. roots of #’s that aren’t perfect. All positive real #’s have 2 sq. roots. The positive sq.root is called the principal root, and the other is the negative sq. root. Sq. roots are written with the radical symbol. The # inside is called the radicand. (read plus or minus) is used to write both sq. roots of a positive #. Perfect squares- #’s whose sq. roots are integers. Irrational #’s- sq. roots of #’s that aren’t perfect.

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positive sq. root neg. sq. root zero only has 1 sq. root is undefined Neg. #’s have no sq. root positive sq. root neg. sq. root zero only has 1 sq. root is undefined Neg. #’s have no sq. root

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Examples

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Completing work for Calculate b 2 Calculate 4 a c Subtract Do square root Calculate b 2 Calculate 4 a c Subtract Do square root

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Examples 1)a=3 b= 4 c=1 2)a=3 b=-2 c=-5 1)a=3 b= 4 c=1 2)a=3 b=-2 c=-5

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Assignment

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The Irrational Numbers and the Real Number System

The Irrational Numbers and the Real Number System

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