1.2b Radicals

Nov 13, 2014

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1.2b Radicals. 1. Laws of Radicals. Radicals. Notation: Note: Properties if is a real number , if a≥0. Radicals. Laws of Radicals. Practice Problems. Page 29 Problems 33-83, odd only.

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1.2b Radicals

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1.2b Radicals 1 Laws of Radicals www.themegallery.com
Radicals • Notation: • Note: • Properties • if is a real number • , • if a≥0 www.themegallery.com
Radicals • Laws of Radicals www.themegallery.com
Practice Problems • Page 29 Problems 33-83, odd only www.themegallery.com

Reducing Radicals

Reducing Radicals. Perfect Squares. 121. 1. 36. 144. 4. 49. 169. 9. 64. 196. 16. 81. 225. 25. 100. Perfect Squares. How to Reduce a Radical. Rule:. 1. 4. If c = a • b , then. 9. 16. 25. 36. 49. 64. 81. 100. 121. 144. 169. 196. 225. Example: Reduce.

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Simplifying Radicals

Simplifying Radicals. You can simplify a square root like into an equivalent expression like Calculator: Simplify square roots using perfect squares 1 2 = 1 2 2 = 4 list all perfect squares from 3 2 = 9 1 to 20 down the side of your 4 2 = page … 20 2 =. Examples.

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Radicals

Radicals. Objective: To review working with radical expressions. Perfect Squares. 64. 225. 1. 81. 256. 4. 100. 289. 9. 121. 16. 324. 144. 25. 400. 169. 36. 196. 49. 625. Simplify. = 2. = 4. = 5. This is a piece of cake!. = 10. = 12.

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Dividing Radicals

Dividing Radicals. Dividing Radicals – the Basics. Like with multiplying radicals, to divide radicals they must have the same INDEX . Remember, division is often written as a fraction .

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Radicals

Radicals. Adding & Subtracting. Adding Radicals. First, simplify each radical in the equation Write the number in terms of its prime factors Circle the pairs Take one number “out” of the radical for each pair Multiply this number by any other number outside the radical sign Example:.

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Radicals

NCP 503: Work with numerical factors NCP 505: Work with squares and square roots of numbers NCP 507: Work with cubes and cube roots of numbers. Radicals. What is a radical?. Square roots, cube roots, fourth roots, etc are all radicals. They are the opposite of exponents.

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Simplifying Radicals

Simplifying Radicals. Radical Flashback. Simplifying Radicals: Find the greatest perfect square that goes into the radicand. Take the square root of the perfect square and keep the rest under the radical. Check Your Answers. Simplifying Square Roots with Variables.

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Radicals

Ö 4. Radicals. Radicals or “Roots” are the opposite of applying an exponent Example: 2 2 = 4, so = 2 In other words, these are inverse operations – you can "undo" a power with a radical, and a radical can "undo" a power. Definitions. The symbol is the RADICAL SIGN

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Multiplying Radicals

Multiplying Radicals. You can use the Product and Quotient Properties (FOIL, Distributive Property , etc) of square roots you have already learned to multiply and divide expressions containing square roots. Example 1. Multiply. Write the product in simplest form.

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Radicals

Radicals. There are 7 valence electrons around the C in this species. Would you expect this species to be stable? a. no b . yes c.not enough information methyl radical . Radicals. ethyl radical

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radicals

radicals. The radical 足 (feet) is common in the words for actions related to feet. 踢 kike 跳 jump 跑 run. The radical 扌 (hand) is common in the words for actions related to hand. 打 beat,hit,strike 挥 wave 擦 wipe. The radical 口（ mouth ） : 吃 eat 喝 drink 吻 kiss.

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Radicals

Radicals. Table of contents. Slide 3: What are Radicals? Slides 4-8: Simplifying Radicals Slides 9-11: Multiplying Radicals Slides 12-15: Dividing Radicals Slides 16-19: Adding Radicals Slides 20-23: Subtracting Radicals Slides 24-29: Solving Radicals Slide 30: Sources Slide 31: THE END.

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Radicals

Radicals. I am not a teacher; only a fellow traveler of whom you asked the way. George Bernard Shaw (1856-1950) British dramatist, critic, writer. Squaring a Number. 4 2 means 4 x 4 = 16. It is called 4 squared and 16 is called a square number.

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Dividing Radicals

Dividing Radicals. Rationalizing Denominators. To Rationalize a Denominator. Multiply both the numerator and the denominator of the fraction by a radical that will result in the radicand in the denominator becoming a perfect power. Examples :. Cannot be simplified further.

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Radicals

Radicals. Simplify √ 25, √ 49, √ 16. 5. 7. 4. Simplify √ 20, √ 50. Rewrite as the product of a square number and some other number Examples: √ 20 = √ 4 ∙√5 √ 50 = √ 25 ∙√ 2. Multiply “like terms”. 4 32. 4 • 16 2. 4 • 4 2. 16 2. Division with radicals: Ex. √5/4.

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Radicals

Radicals. Square roots when left under the square root or “radical sign” are referred to as radicals. They are separate class of numbers like whole numbers or fractions and have certain properties in common. If I asked what 4 2 was equal to, you might think 4 x 4 = 16 duh!

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Simplifying Radicals

Simplifying Radicals. Radical. Index. Note : With square roots the index is not written. Radicand. Steps for Simplifying Square Roots. 1. Factor the Radicand Completely or until you find a perfect root. 2. Take out perfect roots (look for pairs).

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Simplifying Radicals

Simplifying Radicals. Perfect Squares. 64. 225. 1. 81. 256. 4. 100. 289. 9. 121. 16. 324. 144. 25. 400. 169. 36. 196. 49. 625. Simplify. = 2. = 4. = 5. This is a piece of cake!. = 10. = 12. Perfect Square Factor * Other Factor. Simplify. =. =. =. =.

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Simplifying Radicals

Simplifying Radicals. Section 5.3. Radicals Definition Simplifying Adding/Subtracting Multiplying Dividing Rationalizing the denominator. Radicals - definitions. The definition of is the number that when multiplied by itself 2 times is x. Simplifying radicals.

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SIMPLIFYING RADICALS

SIMPLIFYING RADICALS. Jim Smith JCHS. Perfect Squares. If You Multiply A Number By It’s Self, You Get A Perfect Square. 1x1 = 1 2x2 = 4 3x3 = 9. 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225, 256, 289, 324, 361, 400. Radicals. This Is A Radical Sign Or A Square Root

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Simplify Radicals

Simplify Radicals. DO NOW: SOLVE THE INEQUALITY BY FOLLOWING THE STEPS WE HAVE LEARNED OVER THE LAST TWO DAYS. THEN WE WILL GRAPH TOGETHER ON THE CALCULATOR;. HOW DO WE SIMPLIFY RADICALS?. 1. simplify square roots, and 2. simplify radical expressions.

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