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Express each radical in simplified form. See Exam…

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Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Problem 7 Problem 8 Problem 9 Problem 10 Problem 11 Problem 12 Problem 13 Problem 14 Problem 15 Problem 16 Problem 17 Problem 18 Problem 19 Problem 20 Problem 21 Problem 22 Problem 23 Problem 24 Problem 25 Problem 26 Problem 27 Problem 28 Problem 29 Problem 30 Problem 31 Problem 32 Problem 33 Problem 34 Problem 35 Problem 36 Problem 37 Problem 38 Problem 39 Problem 40 Problem 41 Problem 42 Problem 43 Problem 44 Problem 45 Problem 46 Problem 47 Problem 48 Problem 49 Problem 50 Problem 51 Problem 52 Problem 53 Problem 54 Problem 55 Problem 56 Problem 57 Problem 58 Problem 59 Problem 60 Problem 61 Problem 62 Problem 63 Problem 64 Problem 65 Problem 66 Problem 67 Problem 68 Problem 69 Problem 70 Problem 71 Problem 72 Problem 73 Problem 74 Problem 75 Problem 76 Problem 77 Problem 78 Problem 79 Problem 80 Problem 81 Problem 82 Problem 83 Problem 84 Problem 85 Problem 86 Problem 87 Problem 88 Problem 89 Problem 90 Problem 91 Problem 92 Problem 93 Problem 94 Problem 95 Problem 96 Problem 97 Problem 98 Problem 99 Problem 100 Problem 101 Problem 102 Problem 103 Problem 104 Problem 105 Problem 106 Problem 107 Problem 108 Problem 109 Problem 110 Problem 111 Problem 112 Problem 113 Problem 114 Problem 115 Problem 116 Problem 117 Problem 118 Problem 119 Problem 120 Problem 121 Problem 122 Problem 123 Problem 124 Problem 125 Problem 126 Problem 127 Problem 128 Problem 129 Problem 130 Problem 131 Problem 132 Problem 133 Problem 134 Problem 135 Problem 136 Problem 137 Problem 138 Problem 139 Problem 140

Problem 49 Easy Difficulty

Express each radical in simplified form. See Example 4.
$$
\sqrt[3]{-16}
$$

Answer

$-2 \sqrt[3]{2}$

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Algebra

Beginning and Intermediate Algebra

Chapter 10

Roots, Radicals, and Root Functions

Section 3

Simplifying Radical Expressions

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Exponents and Polynomials

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Video Transcript

simplifying the Cuba of negative 16 1st thing to realize is that when you have people have a negative kind of a neck route, so you pull that I get about in front. So really, we're just thinking of Cuba of 16 here and they were front. And then when we lose the Cubano 16 we have to ask of what perfect cubic factors are there of 16. And so, looking at our perfect cues up here, I can see eight. It is a perfect Q factor of 16 so we can rewrite that as negative the cube root of eight times two and then we can use the product will to separate that out into negative that Cuba a times that Cuba, too. And so the Cuban of eight is unknown value. It's too, so we can then say it. This is negative two times the cube root up to, and the Cuban to is irrational value. We don't know what that is, yet it approximate it so we can't pull on a perfect cute factors to get irrational in front. So what you're left with in simplest form is negative. Two times the Cuban tip

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Margaret L. Lial , John Hornsby

Beginning and Intermediate Algebra

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