1. 1-2 IRRATIONAL NUMBERS AND SQUARE ROOTS I Can: - Classify numbers as rational or irrational and find and estimate square roots.

2. VOCABULARY TO KNOW  Square Root  A number a is a square root of a number b if a 2 = b  Example: 7 2 = 49, so 7 is the square root of 49.

3. SQUARE ROOT  You can use the definition of square root to find the exact square roots of some nonnegative numbers.  The radical symbol indicates a nonnegative square root, that is also called the principal square root.

4. VOCABULARY TO KNOW  Radicand  The expression under the radical symbol is called the radicand.  x is the radicand in this case

5. VOCABULARY TO KNOW  Radical  Together, the radical symbol and radicand form a radical.

6. SIMPLIFYING SQUARE ROOT EXPRESSIONS

7. VOCABULARY TO KNOW  Perfect Square  The square of an integer  For this class, you are required to memorize all perfect squares from 1-144.  Copy this list and study it. 1 2 = 17 2 = 49 2 2 = 48 2 = 64 3 2 = 99 2 = 81 4 2 = 1610 2 = 100 5 2 = 2511 2 = 121 6 2 = 3612 2 = 144

8. ESTIMATING A SQUARE ROOT

9. YOU TRY!

10. TYPES OF NUMBERS  Numbers can be classified by their characteristics.  Some can be represented on the number line.

11. SETS  Numbers are classified using sets.  Set - a well-defined collection of objects.  Each object is an element of the set.  Subset - consists of elements from the given set.

12. Sets of Numbers 456783

13. 45678 Irrational numbers cannot be written as a quotient of two integers. Square root of any non-perfect square is irrational Decimals are non-terminating Ex: 0.1010010001…, 3.141592… 3

14. REAL NUMBERS  Rational numbers and irrational numbers form the set of real numbers.  Subsets of real numbers:  Natural  Whole  Integer  Rational  Irrational