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Success Criteria LT: Today’s Agenda Do Now Hand Back Test Lesson HW#9
Similarity Review LT: I will add, subtract and simplify square roots With out using a calculator find in 5 minutes or less: Do Now Hand Back Test Lesson HW#9 Success Criteria Today’s Agenda I can add, subtract and simplify square roots
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Simplifying Radicals
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Perfect Squares 64 225 1 81 256 4 100 289 9 121 16 324 144 25 400 169 36 196 49 625
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Simplify = 2 = 4 = 5 This is a piece of cake! = 10 = 12
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Simplify = = = = = = = = = = Perfect Square Factor * Other Factor
LEAVE IN RADICAL FORM = = = = = =
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Simplify = = = = = = = = = = Perfect Square Factor * Other Factor
LEAVE IN RADICAL FORM = = = = = =
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Guided Notes
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+ To combine radicals: combine the coefficients of like radicals
Combining Radicals + To combine radicals: combine the coefficients of like radicals
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Simplify each expression
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Simplify each expression: Simplify each radical first and then combine.
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Simplify each expression: Simplify each radical first and then combine.
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Simplify = = = = = = = = = = Perfect Square Factor * Other Factor
LEAVE IN RADICAL FORM = = = = = =
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Back to Guided Notes
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Simplify each expression
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Simplify each expression
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Multiplying Radicals * To multiply radicals: multiply the coefficients and then multiply the radicands and then simplify the remaining radicals.
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Multiply and then simplify
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Dividing Radicals To divide radicals: divide the coefficients, divide the radicands if possible, and rationalize the denominator so that no radical remains in the denominator
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That was easy!
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Back to Guided Notes
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42 cannot be simplified, so we are finished.
This cannot be divided which leaves the radical in the denominator. We do not leave radicals in the denominator. So we need to rationalize by multiplying the fraction by something so we can eliminate the radical in the denominator. 42 cannot be simplified, so we are finished.
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This can be divided which leaves the radical in the denominator
This can be divided which leaves the radical in the denominator. We do not leave radicals in the denominator. So we need to rationalize by multiplying the fraction by something so we can eliminate the radical in the denominator.
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This cannot be divided which leaves the radical in the denominator
This cannot be divided which leaves the radical in the denominator. We do not leave radicals in the denominator. So we need to rationalize by multiplying the fraction by something so we can eliminate the radical in the denominator. Reduce the fraction.
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Simplify = X = Y3 = P2X3Y = 2X2Y = 5C4D10
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Simplify = = = =
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= = ? = =
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