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Square Roots. Including Irrational and Rational Numbers!. Square. Radical. Radicand. Square Root. Radical Sign represents the positive square root represents the negative square root Example :. 3. -3. Square Root - PowerPoint PPT Presentation
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Square RootsIncluding Irrational and Rational Numbers!
Radicand
Square
Square Root
Radical
›Radical Sign represents the positive square root
represents the negative square rootExample:
3
-3
›Square RootThe square root of a number is a value that can be multiplied by itself to get the original number.
Example: 3 or -3
Perfect Squares
Perfect Square Exploration
›Perfect Square–Square root will be a rational number
›Not a Perfect Square–Square root will be an irrational number
›Rational Numbers– Terminating or repeating decimals that can be written as a ratio
– Examples:
›Irrational Numbers– Do not have terminating or repeating decimals
› Goes on forever with no pattern!
– Example: 9.2740179367289…
Irrational numbers
Rational numbers
Integers
Whole numbers
Real numbersNumber Classifications
Evaluate and Classify
1.
Answer: 6 or -6
Type: Rational
2.
Answer:
Type: Rational
3.
Answer: -3.464101615…
Type: Irrational
4.
Answer: ±
Type: Irrational
What are the square roots of 49?
Answer: 7 and -7
What are the square roots of 36?
Answer: 6 and -6
Practice
