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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
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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 The 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 rationalnumber • Not a Perfect Square • Square root will be an irrationalnumber
Rational Numbers • Terminating or repeating decimalsthat 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…
Rational numbers Irrational numbers Integers Number Classifications Real numbers Whole numbers
Evaluate and Classify 1. Answer: 6 or -6 Type: Rational 2. Answer: Type: Rational 3. Answer: -3.464101615… Type: Irrational 4. Answer: ± Type: Irrational
Practice What are the square roots of 36? Answer: 6 and -6 What are the square roots of 49? Answer: 7 and -7