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Published byAubrie Carroll Modified over 9 years ago
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Warm Up - Copy the following vocabulary words 1. Index: The number outside the radical symbol. 2. Radicand: is the number found inside a radical symbol, and it is the number you want to find the root of 3. Radical: An expression that uses a root, such as square root, cube root.
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Essential Question: How can I simplify square roots?
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Gallery
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Did Analytic Geometry Home work False, I wrote the problem down and called it a night
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Standard(s): Rewrite expressions involving radicals (i.e.,simplify and/or use the operations of addition, subtraction, and multiplication, with radicals within expressions limited to square roots).
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Unit 4: Extending the number system Section 1: Rewriting radical expressions
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Let’s talk about the number system
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Real number : the set of all numbers that can be expressed as a decimal or that are on the number line. Real numbers have certain properties and different classifications, including natural, whole, integers, rational and irrational. Irrational number- real numbers that cannot be represented as terminating or repeating decimals. Example ∏, e, √2 Rational number: A number expressible in the form a/b or – a/b for some fraction a/b. The rational numbers include the integers. Natural numbers: 1,2,3,4,... Whole numbers. The numbers 0, 1, 2, 3, …. Integers: …,-3,-2,-1,0,1,2,3,…
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Classify the Following numbers using your chart 1.3 2. ⅓ 3.√2 4.-3
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The language of radicals
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Identify the index and the radicand When the index is 2 you don’t have to write it
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Simplifying square roots When you have a square root the index is 2. Steps to simplifying a square root: 1.Make a factor tree and break down the number 2.For every pair of factors take 1 out 3.Multiply the factors on the outside together and the factors on the inside together
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Example 1 Simplify √12 Step 1: make a factor tree
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Example continued Step 2: For every pair of factors take one out
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Example continued Step 3: Multiply the factors on the outside together, then multiply the factors on the inside together
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Example 2: √36
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Try these in your notes √96 √18 √98
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What if we add variables √16x 4
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Let’s try one more √216 x 5 y 7
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