8.5 Square Roots. 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?

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Presentation transcript:

8.5 Square Roots

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?

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

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!

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

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.

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

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!!!!

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:

Example 2 Simplify each expression. a.b.

Your Turn! Simplify the expression. a.b.

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

Example 3 Simplify

Your Turn a. b.

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