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[DOC File]Simplifying Radicals Notes - Rice University
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Objective: to simplify the quotients of radical expressions and rationalize the denominators. Do you know what these equal? = _____ =_____ What is a rational number? I. To simplify quotients of monomial radical expressions. A. Rule. Do not leave a radical in the denominator. EVER!!!!! And. Index numbers must be the same. B. Steps. 1. Write the ...
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[DOC File]Summer Review Packet for Students Entering Calculus (all ...
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How many of that type of x do you have in the numerator? How many of that type of x do you have in the denominator? That ratio is your limit! 95. 96. 97. Limits to Infinity. A rational function does not have a limit if it goes to + (, however, you can state the direction the limit is headed if both the left and right hand side go in the same ...
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[DOCX File]§2.1 Derivatives and Rates of Change
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§2.1 Derivatives and Rates of Change. Tangent Lines. axes, curve C. Consider a smooth curve C. A line tangent to C at a point P both intersects C at P and has the same slope as C at P. add line . t . The Tangent Line Problem
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[DOC File]Discussion Question 1 - JustAnswer
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Jul 20, 2010 · The numerator and denominator of the following must be multiplied by sqrrt3 to rationalize 3/(3+sq rt 3). Explain why. This is also false. You multiply by the conjugate of the denominator. In this case, the conjugate is 3-sqrt 3. Discussion Question 2 Is this equation 28 – (4sq rt 2) = 24(sq rt 2) true or false?
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[DOC File]I REALLY Love Math.com
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ii) Rationalize the numerator and/or the denominator and see if you can then directly substitute Examples: Evaluate each of the following. f) g) * - Notice that in question f) above, we appear to have rationalized the numerator.
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[DOC File]New Chapter 3
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(b) Rationalize the numerator and simplify: ( and ) (Solution (a) After multiplying the numerator and denominator by the conjugate of , we need use the formula to simplify the denominator. (b) In calculus, it is sometimes necessary to rationalize a numerator. The same techniques as in (a) can be used to rationalize the numerator of a fraction.
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[DOC File]Algebra 2 - EPSD
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What to do when the numerator of a rational exponent is other than 1: If the root of is a real number and is an integer, then. and . If is a negative, . Ex: Convert from radical to rational exponent form, or vice versa. Ex: Simplify: HW: _____ Algebra 2 Name_____
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[DOC File]THINGS YOU NEED TO KNOW HOW TO DO FROM CHAPTER 5
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Divide complex numbers: multiply numerator and denominator by the complex conjugate of the denominator to get the denominator to be real. Graph a complex number in the complex plane: plot the point as ( a , b ). Find the absolute value of a complex number: SECTION 5.5. Complete the square to solve a quadratic in standard form.
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[DOC File]Equations and Graphs
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DAY TOPIC ASSIGNMENT 1 The Real Number Line, Inequalities, & Interval Notation p. 29 2 Calculator Basics p. 30-33 (Worksheet A, B) 3 Solving Inequalities Algebraically p. 34-35 4 Solving Inequalities Graphically p.36-37 (Worksheet 1) 5 Directed Distance, Absolute Value p. 38-39 6 Operations with Exponents p. 40-41 7 Domain, Simplifying by Factoring p. 42-43 8 Factoring Polynomials p. 44 9 ...
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[DOC File]Module 18
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Rationalize a fraction whose denominator contains square roots. How much do you know. Identify the radicand and index of the following and then simplify. 1) 6) 2) 7) 3) 8) 4) 9) 5) 10) Simplify the following radical expressions. 1) 6) 2) 7) 3) 8) 4) 9) 5) 10) Rationalize the denominator. 1) 6)
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When do you rationalize the numerator