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Warm UP!

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130 is the Radicand Which number is the radicand?

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The number that it takes to make a perfect square What is a square root? When you have a pair, bring the number out.

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No perfect square factors other than 1 are in the radicand. No fractions are in the radicand. No radicals appear in the denominator.

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If a radicand isn’t a perfect square, you’ll prime factor. List some prime numbers.

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Prime Factorization Breaking down a number until you are only left with prime numbers When you have a pair, bring the number out.

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Prime Factor When you have a pair, bring the number out.

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Prime Factor When you have a pair, bring the number out.

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Prime Factor EX:4 Simplify.

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You try! 1. 2. 3.4.

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When you have a pair, bring that term out. EX:5 VARIABLES

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When you have a pair, bring that term out. EX:6 VARIABLES

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When you have a pair, bring that term out. EX:7 VARIABLES Prime Factor

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You try! 5. 6. 7. 8.

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Advanced Algebra Notes Section 4.5: Simplifying Radicals (A) A number r is a _____________ of a number x if. The number r is a factor that is used twice.

Advanced Algebra Notes Section 4.5: Simplifying Radicals (A) A number r is a _____________ of a number x if. The number r is a factor that is used twice.

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