1-5 ROOTS.

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Presentation transcript:

1-5 ROOTS

Squares Square of a number: “Squaring” a number means to raise a number to the second power. Example: 4² = 4 · 4 = 16 9² = 9 · 9 = 81 16² = 16 · 16 = 256

Square Roots The Square Root of a number is the number you can multiply by itself to give you that number. Thus, = 2, because 22=4 = 3, because 32=9 Try: = 8, because 82=64 = 12, because 122=144 = 1, because 12 = 1 = 0, because 02 = 0

WHAT IS THE RELATIONSHIP BETWEEN SQUARING A NUMBER AND TAKING THE SQUARE ROOT?

Square Roots UNDO Squares INVERSE OPERATIONS = =

Perfect Squares MEMORIZE THEM 25 81 1 36 100 4 49 121 9 144 16 64

POSITIVE AND NEGATIVE SQUARE ROOT Every number has a positive AND negative square root. ± Example Usually only the positive square root is considered. When solving an equation you must include ± because both the positive and negative are the correct answer. Example Solve

SQUARE ROOT OF NEGATIVE NUMBER vs. There is no real square root because nothing times itself is going to give you a -16.

EXAMPLES

A. 1. B. 2. C. 3. D. 4.

Cubes Cube of a number: “Cubing” a number means to raise a number to the third power. = 2 · 2 · 2 = 8 =5 · 5 · 5 = 125

Cube Roots The Cube Root of a number is the number you can multiply by itself twice to give you that number.

WHAT IS THE RELATIONSHIP BETWEEN CUBING A NUMBER AND TAKING THE CUBE ROOT?

Cube Roots UNDO Cubes INVERSE OPERATIONS = =

Perfect Cubes MEMORIZE THEM 1 27 8 125 64

CUBE ROOT OF A NEGATIVE NUMBER vs.

A. B. C.