Unit 1: Radical Expressions

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Presentation transcript:

Unit 1: Radical Expressions

I can Simplify a perfect square radical expression Learning Target #1

What does ______ mean? Simplify Perfect Square Radical Expression

What is the Square Root of each Value? 1 4 9 16 25 36 49 64 81 100 121

Simplify Each Radical Expression 1 4 9 16 25 36 49 64 81 100 121

Bell Work: Simplify the Single Radical Expression 24 50

Simplifying Single Radical Expressions: Methods Prime Factorization Tree Method Pyramid Perfect Square Factor

Prime Factorization (Tree Method or Pyramid) Start with your number at the top of the Tree Break it down into two numbers that multiply to get that number (2 Factors) If either number is PRIME, that side of the tree is finished, continue breaking down what remains. Continue finding factors of each new number until you are left with only PRIME numbers. Once all numbers are PRIME, find ALL pairs of PRIME numbers that are the same. Each pair of numbers represent a number that will be MULTIPLIED out in front of the radical/ square root. If there are multiple pairs, pull out each pair and multiply them together. Leave all numbers that don’t have a pair under the radical and multiply them together. The final answer will be ONE number multiplied by the square root with ONE number underneath.

Prime Factorization Examples 108 32 147

Perfect Square Factor Method Find the LARGEST/ BIGGEST perfect square (4, 9, 16, 25, etc.) that is a factor of your original number. Break down the radical into the perfect square factor multiplied by the factor that matches the perfect square. Take the square root of the perfect square and put that number out in front of the radical/ square root. WARNING!!! If you do not find the BIGGEST perfect square factor, you will have to factor more than once!

Perfect Square Factor Method: Examples 108 32 147

Order of Operations Parentheses Exponents Multiplication/ Division Addition/ Subtraction

Use Order of Operations of Simplify 4 +12 4+12