1 Introduction To Algebraic Expressions 2 Equations, Inequalities, And Problem Solving 3 Introduction To Graphing 4 Polynomials 5 Polynomials And Factoring 6 Rational Expressions And Equations 7 Functions And Graphs 8 Systems Of Linear Equations And Problem Solving 9 Inequalities And Problem Solving 10 Exponents And Radicals 11 Quadratic Functions And Equations 12 Exponential Functions And Logarithmic Functions 13 Conic Sections 14 Sequences, Series, And The Binomial Theorem R Elementary Algebra Review A Mean, Median, And Mode B Sets C Synthetic Division And The Remainder Theorem expand_more
10.1 Radical Expressions And Functions 10.2 Rational Numbers As Exponents 10.3 Multiplying Radical Expressions 10.4 Dividing Radical Expressions 10.5 Expressions Containing Several Radical Terms 10.6 Solving Radical Equations 10.7 The Distance Formula, The Midpoint Formula, And Other Applications 10.8 The Complex Numbers Chapter Questions expand_more
Problem 1YT: Simplify by combining like radical terms: 2575+45. Problem 2YT: 2. Simplify combining like radical, if possible:
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Problem 3YT: 3. Simplify by combining like radical terms, if possible:
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Problem 4YT: Multiply: (7+x)2. Problem 5YT: 5. Rationalize the denominator:
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Problem 6YT: Rationalize the numerator: 5y7. Problem 7YT: Divide and, if possible, simplify: 3x(3x)25. Problem 8YT: 8. Multiply and simplify:
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Problem 9YT: 9. If , find .
Problem 10YT: Divide and, if possible, simplify: x15y75x2y. Problem 1E: Write an equivalent expression with a rationalized denominator. 67 Problem 2E: Write an equivalent expression with a rationalized denominator.
2.
Problem 3E: Write an equivalent expression with a rationalized denominator. 2xy Problem 4E: Write an equivalent expression with a rationalized denominator. 58 Problem 5E: Write an equivalent expression with a rationalized denominator. 25+3 Problem 6E: Write an equivalent expression with a rationalized denominator. 215 Problem 7E: Write an equivalent expression with a rationalized denominator. 1x2y3 Problem 8E: Write an equivalent expression with a rationalized denominator. aa3b24 Problem 1ES Problem 2ES Problem 3ES Problem 4ES Problem 5ES Problem 6ES Problem 7ES Problem 8ES Problem 9ES Problem 10ES Problem 11ES Problem 12ES Problem 13ES Problem 14ES Problem 15ES Problem 16ES Problem 17ES Problem 18ES Problem 19ES Problem 20ES Problem 21ES Problem 22ES Problem 23ES Problem 24ES Problem 25ES Problem 26ES Problem 27ES Problem 28ES Problem 29ES Problem 30ES: Add or subtract Simplify by combining like radical terms, if possible Assume that all variables and... Problem 31ES: Multiply Assume that all variables represent nonnegative real numbers. 2(5+2) Problem 32ES: Multiply Assume that all variables represent nonnegative real numbers.
32.
Problem 33ES: Multiply Assume that all variables represent nonnegative real numbers. 35(67) Problem 34ES: Multiply Assume that all variables represent nonnegative real numbers.
34.
Problem 35ES: Multiply Assume that all variables represent nonnegative real numbers.
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Problem 36ES: Multiply Assume that all variables represent nonnegative real numbers. 3(21534) Problem 37ES: Multiply Assume that all variables represent nonnegative real numbers.
37.
Problem 38ES: Multiply Assume that all variables represent nonnegative real numbers. 23(432323) Problem 39ES: Multiply Assume that all variables represent nonnegative real numbers. a3(a23+24a23) Problem 40ES: Multiply Assume that all variables represent nonnegative real numbers. x3(3x2381x23) Problem 41ES: Multiply Assume that all variables represent nonnegative real numbers.
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Problem 42ES: Multiply Assume that all variables represent nonnegative real numbers.
42.
Problem 43ES: Multiply Assume that all variables represent nonnegative real numbers.
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Problem 44ES: Multiply Assume that all variables represent nonnegative real numbers.
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Problem 45ES: Multiply Assume that all variables represent nonnegative real numbers.
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Problem 46ES: Multiply Assume that all variables represent nonnegative real numbers.
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Problem 47ES: Multiply Assume that all variables represent nonnegative real numbers.
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Problem 48ES: Multiply Assume that all variables represent nonnegative real numbers.
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Problem 49ES: Multiply Assume that all variables represent nonnegative real numbers. (37+25)(2745) Problem 50ES: Multiply Assume that all variables represent nonnegative real numbers.
50.
Problem 51ES: Multiply Assume that all variables represent nonnegative real numbers.
51.
Problem 52ES: Multiply Assume that all variables represent nonnegative real numbers. (3+10)2 Problem 53ES: Multiply Assume that all variables represent nonnegative real numbers. (32)2 Problem 54ES: Multiply Assume that all variables represent nonnegative real numbers. (53)2 Problem 55ES: Multiply Assume that all variables represent nonnegative real numbers.
55.
Problem 56ES: Multiply Assume that all variables represent nonnegative real numbers. (3x2)2 Problem 57ES: Multiply Assume that all variables represent nonnegative real numbers.
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Problem 58ES: Multiply Assume that all variables represent nonnegative real numbers. (4+x3)2 Problem 59ES: Multiply Assume that all variables represent nonnegative real numbers.
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Problem 60ES: Multiply Assume that all variables represent nonnegative real numbers.
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Problem 61ES: Rationalize each denominator. If possible, simplify your result. 632 Problem 62ES: Rationalize each denominator. If possible, simplify your result. 545 Problem 63ES: Rationalize each denominator. If possible, simplify your result.
63.
Problem 64ES: Rationalize each denominator. If possible, simplify your result. 1+23+5 Problem 65ES: Rationalize each denominator. If possible, simplify your result. aa+b Problem 66ES: Rationalize each denominator. If possible, simplify your result. zxz Problem 67ES: Rationalize each denominator. If possible, simplify your result.
67.
Problem 68ES: Rationalize each denominator. If possible, simplify your result. 7+55+2 Problem 69ES: Rationalize each denominator. If possible, simplify your result.
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Problem 70ES: Rationalize each denominator. If possible, simplify your result. 53112352 Problem 71ES: Rationalize each numerator. If possible, simplify your result.
71.
Problem 72ES: Rationalize each numerator. If possible, simplify your result.
72.
Problem 73ES: Rationalize each numerator. If possible, simplify your result.
73.
Problem 74ES: Rationalize each numerator. If possible, simplify your result. 10+423 Problem 75ES: Rationalize each numerator. If possible, simplify your result.
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Problem 76ES: Rationalize each numerator. If possible, simplify your result.
76.
Problem 77ES: Rationalize each numerator. If possible, simplify your result.
77.
Problem 78ES: Rationalize each numerator. If possible, simplify your result. xhxh Problem 79ES: Perform the indicated operation and simplify Assume that all variables represent positive real... Problem 80ES: Perform the indicated operation and simplify Assume that all variables represent positive real... Problem 81ES: Perform the indicated operation and simplify Assume that all variables represent positive real... Problem 82ES: Perform the indicated operation and simplify Assume that all variables represent positive real... Problem 83ES: Perform the indicated operation and simplify Assume that all variables represent positive real... Problem 84ES: Perform the indicated operation and simplify Assume that all variables represent positive real... Problem 85ES: Perform the indicated operation and simplify Assume that all variables represent positive real... Problem 86ES: Perform the indicated operation and simplify Assume that all variables represent positive real... Problem 87ES: Perform the indicated operation and simplify Assume that all variables represent positive real... Problem 88ES: Perform the indicated operation and simplify Assume that all variables represent positive real... Problem 89ES: Perform the indicated operation and simplify Assume that all variables represent positive real... Problem 90ES: Perform the indicated operation and simplify Assume that all variables represent positive real... Problem 91ES: Perform the indicated operation and simplify Assume that all variables represent positive real... Problem 92ES: Perform the indicated operation and simplify Assume that all variables represent positive real... Problem 93ES: Perform the indicated operation and simplify Assume that all variables represent positive real... Problem 94ES: Perform the indicated operation and simplify Assume that all variables represent positive real... Problem 95ES: Perform the indicated operation and simplify Assume that all variables represent positive real... Problem 96ES: Perform the indicated operation and simplify Assume that all variables represent positive real... Problem 97ES: Perform the indicated operation and simplify Assume that all variables represent positive real... Problem 98ES: Perform the indicated operation and simplify Assume that all variables represent positive real... Problem 99ES: Perform the indicated operation and simplify Assume that all variables represent positive real... Problem 100ES: Perform the indicated operation and simplify Assume that all variables represent positive real... Problem 101ES: Perform the indicated operation and simplify Assume that all variables represent positive real... Problem 102ES: Perform the indicated operation and simplify Assume that all variables represent positive real... Problem 103ES: In Exercises 103106, f(x) and g(x) are as given. Find (fg)(x). Assume that all variables represent... Problem 104ES: In Exercises 103–106, and are as given. Find . Assume that all variables represent nonnegative... Problem 105ES: In Exercises 103106, f(x) and g(x) are as given. Find (fg)(x). Assume that all variables represent... Problem 106ES: In Exercises 103–106, and are as given. Find . Assume that all variables represent nonnegative... Problem 107ES: Let . Find each of the following.
107.
Problem 108ES: Let f(x)=x2. Find each of the following. f(53) Problem 109ES: Let . Find each of the following.
109.
Problem 110ES: Let f(x)=x2. Find each of the following. f(2+10) Problem 111ES: 111. In what way(s) is combining like radical terms similar to combining like terms that are... Problem 112ES: Why do we need to know how to multiply radical expressions before learning how to add them? Problem 113ES: In which quadrant is the point (6,12) located? [3.1] Problem 114ES: Find the slope of the line containing the points (9,10) and (6,7). [3.5] Problem 115ES: 115. Find the x-intercept and the y-intercept of the line given by . [3.3]
Problem 116ES: Find the slope and the y -intercept of the line given by 3y+5x=1. [3.6] Problem 117ES: 117. Write the slope-intercept equation of the line that is perpendicular to the line and has a... Problem 118ES: 118. Write the slope-intercept equation of the line that contains the points and . [3.7]
Problem 119ES: 119. Nadif incorrectly writes
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What mistake do you suspect he is making?
Problem 120ES: After examining the expression 25xy345x4y, Sofia (correctly) concludes that x and y are both... Problem 121ES: Find a simplified form for . Assume .
121.
Problem 122ES: Find a simplified form for f(x). Assume x0. f(x)=20x2+4x33x45+9x+5x2+x3 Problem 123ES: Find a simplified form for . Assume .
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Problem 124ES: Find a simplified form for f(x). Assume x0. f(x)=16x4+16x542x8+x94 Problem 125ES: Simplify. 7x(x+y)35xyx+y2y(x+y)3 Problem 126ES: Simplify.
126.
Problem 127ES: Simplify.
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Problem 128ES: Simplify. 1236a5bc41264a4bc63+16144a3bc6 Problem 129ES: Simplify. 1www+1w Problem 130ES: Simplify. 14+3+13+134 Problem 131ES: Express each of the following as the product of two radical expressions. x5 Problem 132ES: Express each of the following as the product of two radical expressions.
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Problem 133ES: Express each of the following as the product of two radical expressions.
133.
Problem 134ES: Multiply.
134.
Problem 135ES: Multiply.
135.
Problem 136ES: 136. Use a graphing calculator to check your answers to Exercises 25, 39, and 81.
Problem 137ES: A formula for factoring a sum of squares is A2+B2=(A+B+2AB)(A+B2AB). a. Show that this is an... Problem 1QQ: 1. Simplify: . Assume that t can represent any real number. [10.1]
Problem 2QQ: Write an equivalent expression using radical notation: (3xy)7/8. [10.2] Problem 3QQ: 3. Write an equivalent expression using exponential notation: . [10.2]
Problem 4QQ: Rationalize the denominator: 54x5y3. [10.4] Problem 5QQ: 5. Rationalize the numerator: . [10.5]
Problem 1PTMO: Solve.
1.
Problem 2PTMO: Solve.
2.
Problem 3PTMO: Solve. 6=5x[2.2] Problem 4PTMO: Solve. x210x+25=4(x2)[5.7] Problem 1MCR: Multiply and simplify: 6x92xy. [10.3] Problem 2MCR: Combine like radical terms: 12375+8. [10.5] Problem 3MCR: Simplify. Assume that variables can represent any real number. 81[10.1] Problem 4MCR: Simplify. Assume that variables can represent any real number. 9100[10.1] Problem 5MCR: Simplify. Assume that variables can represent any real number.
5.
Problem 6MCR: Simplify. Assume that variables can represent any real number. x55[10.1] Problem 7MCR: Find f(5) if f(x)12x43. [10.1] Problem 8MCR: 8. Determine the domain of if .
Problem 9MCR: Write an equivalent expression using radical notation and simplify: 82/3. [10.2] Problem 10MCR: Simplify. Assume that no radicands were formed by raising negative numbers to even powers. a6[10.2] Problem 11MCR: Simplify. Assume that no radicands were formed by raising negative numbers to even powers.
11.
Problem 12MCR Problem 13MCR: Simplify. Assume that no radicands were formed by raising negative numbers to even powers.... Problem 14MCR: Simplify. Assume that no radicands were formed by raising negative numbers to even powers.
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Problem 15MCR: Simplify. Assume that no radicands were formed by raising negative numbers to even powers.
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Problem 16MCR: Simplify. Assume that no radicands were formed by raising negative numbers to even powers.
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Problem 17MCR Problem 18MCR: Simplify. Assume that no radicands were formed by raising negative numbers to even powers.... Problem 19MCR: Simplify. Assume that no radicands were formed by raising negative numbers to even powers.
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Problem 20MCR: Simplify. Assume that no radicands were formed by raising negative numbers to even powers.... Problem 21MCR: Simplify. Assume that no radicands were formed by raising negative numbers to even powers.
21.
Problem 22MCR: Simplify. Assume that no radicands were formed by raising negative numbers to even powers.... Problem 23MCR: Simplify. Assume that no radicands were formed by raising negative numbers to even powers.... Problem 24MCR: Simplify. Assume that no radicands were formed by raising negative numbers to even powers.... Problem 25MCR: Simplify. Assume that no radicands were formed by raising negative numbers to even powers.... format_list_bulleted