perfect squares: 1, 4, 9, __, __, __, __, __, __, __,… 1 2 2 2 3 2 4 2 5 2 6 2 7 2 8 2 9 2 10 2

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Perfect squares: 1, 4, 9, __, __, __, __, __, __, __,… 1 2 2 2 3 2 4 2 5 2 6 2 7 2 8 2 9 2 10 2

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Square Root of A = B if B 3 = A square root of 16 = __ or __

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Page 1: Perfect squares: 1, 4, 9, __, __, __, __, __, __, __,… 1 2 2 2 3 2 4 2 5 2 6 2 7 2 8 2 9 2 10 2

Perfect squares:1, 4, 9, __, __, __, __, __, __, __,…12 22 32 42 52 62 72 82 92 102

Page 2: Perfect squares: 1, 4, 9, __, __, __, __, __, __, __,… 1 2 2 2 3 2 4 2 5 2 6 2 7 2 8 2 9 2 10 2

Perfect squares:1, 4, 9, 16, 25, 36, 49, 64, 81, 100,…12 22 32 42 52 62 72 82 92 102

Page 3: Perfect squares: 1, 4, 9, __, __, __, __, __, __, __,… 1 2 2 2 3 2 4 2 5 2 6 2 7 2 8 2 9 2 10 2

Square Root of A = B if B3 = A

square root of 16 = __ or __

Page 4: Perfect squares: 1, 4, 9, __, __, __, __, __, __, __,… 1 2 2 2 3 2 4 2 5 2 6 2 7 2 8 2 9 2 10 2

Square Root of A = B if B3 = A

square root of 16 = 4 or __42 = 16

Page 5: Perfect squares: 1, 4, 9, __, __, __, __, __, __, __,… 1 2 2 2 3 2 4 2 5 2 6 2 7 2 8 2 9 2 10 2

Square Root of A = B if B3 = A

square root of 16 = 4 or -442 = 16 (-4)2 = 16

Page 6: Perfect squares: 1, 4, 9, __, __, __, __, __, __, __,… 1 2 2 2 3 2 4 2 5 2 6 2 7 2 8 2 9 2 10 2

Square Root of A = B if B3 = A

square root of 16 = 4 or -442 = 16 (-4)2 = 16

“principal (positive) square root of x”

Page 7: Perfect squares: 1, 4, 9, __, __, __, __, __, __, __,… 1 2 2 2 3 2 4 2 5 2 6 2 7 2 8 2 9 2 10 2

Square Root of A = B if B3 = A

square root of 16 = 4 or -442 = 16 (-4)2 = 16

“principal (positive) square root of x”

6

Page 8: Perfect squares: 1, 4, 9, __, __, __, __, __, __, __,… 1 2 2 2 3 2 4 2 5 2 6 2 7 2 8 2 9 2 10 2

√−36=¿¿62 = 6•6=__ (-6)2 = (-6)•(-6)=__

Page 9: Perfect squares: 1, 4, 9, __, __, __, __, __, __, __,… 1 2 2 2 3 2 4 2 5 2 6 2 7 2 8 2 9 2 10 2

Perfect cubes:1, 8 ,___, ___, ___, . . ., ___,. . . 12 23 33 43 53 103

Page 10: Perfect squares: 1, 4, 9, __, __, __, __, __, __, __,… 1 2 2 2 3 2 4 2 5 2 6 2 7 2 8 2 9 2 10 2

Perfect cubes:1, 8 , 27, 64, 125, . . .,1000,. . . 12 23 33 43 53 103

Page 11: Perfect squares: 1, 4, 9, __, __, __, __, __, __, __,… 1 2 2 2 3 2 4 2 5 2 6 2 7 2 8 2 9 2 10 2

Cube Root of A = B if B3 = Acube root of 8= = _____

cube root of -8 == _____

Page 12: Perfect squares: 1, 4, 9, __, __, __, __, __, __, __,… 1 2 2 2 3 2 4 2 5 2 6 2 7 2 8 2 9 2 10 2

Cube Root of A = B if B3 = Acube root of 8= = 2

2 • 2 • 2 = 8 cube root of -8 = = -2

(-2)•(-2)•(-2) = -8

Page 13: Perfect squares: 1, 4, 9, __, __, __, __, __, __, __,… 1 2 2 2 3 2 4 2 5 2 6 2 7 2 8 2 9 2 10 2

Rational #s: vs.Any # that can be written as a ______________

Irrational #s:A non-_________, non-________decimal

Page 14: Perfect squares: 1, 4, 9, __, __, __, __, __, __, __,… 1 2 2 2 3 2 4 2 5 2 6 2 7 2 8 2 9 2 10 2

Rational #s: vs.Any # that can be written as a ______________

Irrational #s:A non- ending, non- repeatingdecimal

Page 15: Perfect squares: 1, 4, 9, __, __, __, __, __, __, __,… 1 2 2 2 3 2 4 2 5 2 6 2 7 2 8 2 9 2 10 2

Rational #s: vs.Any # that can be written as a ______________

Irrational #s:A non- ending, non- repeatingdecimal

26535897…

Page 16: Perfect squares: 1, 4, 9, __, __, __, __, __, __, __,… 1 2 2 2 3 2 4 2 5 2 6 2 7 2 8 2 9 2 10 2

Rational #s: vs.Any # that can be written as a ______________

Irrational #s:A non- ending, non- repeatingdecimal

26535897…

Page 17: Perfect squares: 1, 4, 9, __, __, __, __, __, __, __,… 1 2 2 2 3 2 4 2 5 2 6 2 7 2 8 2 9 2 10 2

Rational #s: vs.Any # that can be written as a ______________

Irrational #s:A non- ending, non- repeatingdecimal

26535897…

Page 18: Perfect squares: 1, 4, 9, __, __, __, __, __, __, __,… 1 2 2 2 3 2 4 2 5 2 6 2 7 2 8 2 9 2 10 2

Rational #s: vs.Any # that can be written as a fraction where a & b are integers

Irrational #s:A non- ending, non- repeatingdecimal

26535897…

Page 19: Perfect squares: 1, 4, 9, __, __, __, __, __, __, __,… 1 2 2 2 3 2 4 2 5 2 6 2 7 2 8 2 9 2 10 2

Rational #s: vs.Any # that can be written as a fraction where a & b are integers

Irrational #s:A non- ending, non- repeatingdecimal

26535897…

8 =____ -6 = ____

½ = ____ 0.7 = ___

Page 20: Perfect squares: 1, 4, 9, __, __, __, __, __, __, __,… 1 2 2 2 3 2 4 2 5 2 6 2 7 2 8 2 9 2 10 2

Solving Root Equationsx2 = 36 c2 = 90 y2 = -49

Page 21: Perfect squares: 1, 4, 9, __, __, __, __, __, __, __,… 1 2 2 2 3 2 4 2 5 2 6 2 7 2 8 2 9 2 10 2

Solving Root Equationsx2 = 36 c2 = 90 y2 = -49

x = ± 6 c ≈ 9.49 no solutions

Page 22: Perfect squares: 1, 4, 9, __, __, __, __, __, __, __,… 1 2 2 2 3 2 4 2 5 2 6 2 7 2 8 2 9 2 10 2

Solving Root Equationsh3 = 27 p3 = -27 n3= 200

Page 23: Perfect squares: 1, 4, 9, __, __, __, __, __, __, __,… 1 2 2 2 3 2 4 2 5 2 6 2 7 2 8 2 9 2 10 2

Solving Root Equationsh3 = 27 p3 = -27 n3= 200

h = 3 p3 = -3 n3 ≈5.85