sections 11.1: square roots & 11.2: approximating square roots pg.533, 540
TRANSCRIPT
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Sections 11.1: Square Roots & 11.2: Approximating Square Roots
Pg.533, 540
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Objectives & Vocabulary1. Evaluate expressions using square roots (11.1).2. Approximate square roots of numbers (11.2).
• Square root (pg.533): of a number n, the square root is the number m which, when multiplied by itself, equals n.
• Perfect square (pg.533): numbers that are squares of integers [ex: 4 and 25 are perfect squares].
• Radical expression (pg.534): an expression involving a radical sign (or square root).
• Irrational number (pg.541): cannot be written as a quotient of two integers, and the decimal form of an irrational number neither terminates nor repeats [ex: the square root of 11].
• Real number (pg.541): all rational and irrational numbers (any number is a real number).
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Example 1: Finding Square Roots
A. Find the square root of 81.
B. Find the square root of 49.
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Example 2: Evaluating Square Roots. 36
. 16 and - 16
. 0
A
B
C
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Example 3: Evaluating Radical Expressions
2 2
Evaluate the expression when z = 7 and m = -2.
. 29
. 11
A z
B z m
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Example 4: Solving Equations Using Square Roots
2
2
Solve the equation.
A. 25
. 5 54
x
B h
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Example 5: Approximating Square Roots
. Approximate 11 to the nearest whole number.
B. Approximate 11 to the nearest tenth.
A
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Homework Time—yea!
• Pg.535(2-22E) &• pg.542-543(2-20E, no10)