1. 8.5 Square Roots

2. Squaring a Number What does it mean to square a number? It means to multiply a number by itself! What is 2 squared? What is 5 squared?

3. What are perfect squares? Perfect squares are what result from squaring numbers. Find your Perfect Squares table in your notes and let’s complete that table. NumberSquareNumberSquareNumberSquare 11121 21222 31323 41424 51525 61626 71727 81828 91929 102030

4. What’s a Square Root? Finding a square root is the opposite (or inverse) of squaring a number. To find the square root of 36 you must figure out what number multiplied by itself equals 36. That number is the square root of 36!

5. Square Root Words: A square root of a number is one of its Words: A square root of a number is one of its two equal factors. Symbols: where a = b · b Symbols: where a = b · b

6. The symbol, called a _____________ _________, is used to indicate a square root. This indicates the positive square root of 36. This indicates the negative square root of 36.

7. Example 1 Simplify each expression. a.b.c.d.e.f.

8. A radical expression is an expression that contains a square root. An example would be the The easiest way to simplify a radical expression is to separate the radical into smaller radicals that contain perfect squares. Hint: Try to find the largest perfect square that divides evenly into the radical. Use Your Perfect Squares Table!!!!

9. Product Property of Square Roots Words: The square root of a product is equal to the product of each square root. Words: The square root of a product is equal to the product of each square root. Numbers: Numbers: Symbols: Symbols:

10. Example 2 Simplify each expression. a.b.

11. Your Turn! Simplify the expression. a.b.

12. Quotient Property of Square Roots Words:The square root of a quotient is equal to the quotient of each square root. Numbers:Symbols:

13. Example 3 Simplify

14. Your Turn a. b.

17. Work On Now Practice 8.5 – Evens Practice 8.5 – Evens Practice 8.6 – Evens Practice 8.6 – EvensHOMEWORK Sample Chapter 8 Test & Prepare for Chapter 8 Test