1.4e: Exercises - Radical Equations
- Page ID
- 45459
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\(\newcommand{\avec}{\mathbf a}\) \(\newcommand{\bvec}{\mathbf b}\) \(\newcommand{\cvec}{\mathbf c}\) \(\newcommand{\dvec}{\mathbf d}\) \(\newcommand{\dtil}{\widetilde{\mathbf d}}\) \(\newcommand{\evec}{\mathbf e}\) \(\newcommand{\fvec}{\mathbf f}\) \(\newcommand{\nvec}{\mathbf n}\) \(\newcommand{\pvec}{\mathbf p}\) \(\newcommand{\qvec}{\mathbf q}\) \(\newcommand{\svec}{\mathbf s}\) \(\newcommand{\tvec}{\mathbf t}\) \(\newcommand{\uvec}{\mathbf u}\) \(\newcommand{\vvec}{\mathbf v}\) \(\newcommand{\wvec}{\mathbf w}\) \(\newcommand{\xvec}{\mathbf x}\) \(\newcommand{\yvec}{\mathbf y}\) \(\newcommand{\zvec}{\mathbf z}\) \(\newcommand{\rvec}{\mathbf r}\) \(\newcommand{\mvec}{\mathbf m}\) \(\newcommand{\zerovec}{\mathbf 0}\) \(\newcommand{\onevec}{\mathbf 1}\) \(\newcommand{\real}{\mathbb R}\) \(\newcommand{\twovec}[2]{\left[\begin{array}{r}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\ctwovec}[2]{\left[\begin{array}{c}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\threevec}[3]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\cthreevec}[3]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\fourvec}[4]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\cfourvec}[4]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\fivevec}[5]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\cfivevec}[5]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\mattwo}[4]{\left[\begin{array}{rr}#1 \amp #2 \\ #3 \amp #4 \\ \end{array}\right]}\) \(\newcommand{\laspan}[1]{\text{Span}\{#1\}}\) \(\newcommand{\bcal}{\cal B}\) \(\newcommand{\ccal}{\cal C}\) \(\newcommand{\scal}{\cal S}\) \(\newcommand{\wcal}{\cal W}\) \(\newcommand{\ecal}{\cal E}\) \(\newcommand{\coords}[2]{\left\{#1\right\}_{#2}}\) \(\newcommand{\gray}[1]{\color{gray}{#1}}\) \(\newcommand{\lgray}[1]{\color{lightgray}{#1}}\) \(\newcommand{\rank}{\operatorname{rank}}\) \(\newcommand{\row}{\text{Row}}\) \(\newcommand{\col}{\text{Col}}\) \(\renewcommand{\row}{\text{Row}}\) \(\newcommand{\nul}{\text{Nul}}\) \(\newcommand{\var}{\text{Var}}\) \(\newcommand{\corr}{\text{corr}}\) \(\newcommand{\len}[1]{\left|#1\right|}\) \(\newcommand{\bbar}{\overline{\bvec}}\) \(\newcommand{\bhat}{\widehat{\bvec}}\) \(\newcommand{\bperp}{\bvec^\perp}\) \(\newcommand{\xhat}{\widehat{\xvec}}\) \(\newcommand{\vhat}{\widehat{\vvec}}\) \(\newcommand{\uhat}{\widehat{\uvec}}\) \(\newcommand{\what}{\widehat{\wvec}}\) \(\newcommand{\Sighat}{\widehat{\Sigma}}\) \(\newcommand{\lt}{<}\) \(\newcommand{\gt}{>}\) \(\newcommand{\amp}{&}\) \(\definecolor{fillinmathshade}{gray}{0.9}\)A: Radical Equations (I)
Exercise \(\PageIndex{A}\)
\( \bigstar \) Solve.
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- Answers to odd exercises:
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1. \(49\) 3. \(1\) 5. \(Ø\) 7. \(\frac{1}{25}\) 9. \(1\) 11. \(3\) 13. \(\frac{13}{4}\) 15. \(0\) 17. \(\frac{1}{4}\) 19. \(Ø\) 21. \(27\) 23. \(9\) 25. \(−3\) 27. \(6\) 29. \(\frac{2}{3}\).
B: Radical Equations (II)
Exercise \(\PageIndex{B}\)
\( \bigstar \) Solve.
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- Answers to odd exercises:
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31. \(2\) 33. \(7\) 35. \(2\) 37. \(−3\) 39. \(13\).
C: Radical Equations (III)
Exercise \(\PageIndex{C}\)
\( \bigstar \) Solve.
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- Answers to odd exercises:
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41. \(7\) 43. \(2, 6\) 45. \(2\) 47. \(−1, 8\) 49. \(5\) 51. \(Ø\) 53. \(−3, 3\) 55. \(2, 5\) 57. \(−4, 4\) 59. \(\frac{1}{2}\) 61. \(2, 7\) 63. \(Ø\) 65. \(10\) 67. \(−6, −4\) 69. \(−\frac{1}{2}, \frac{3}{2}\) 71. \(Ø\) 73. \(−5, 5\) 75. \(−9, 3\) 77. \(\frac{1}{5}\) 79. \(− \frac{3}{2} ,\frac{ 3}{2}\) 81. \(−1, \frac{1}{2}\)
D: Radical Equations (IV)
Exercise \(\PageIndex{D}\)
\( \bigstar \) Solve.
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- Answers to odd exercises:
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83. \(5, 10\) 85. \(−7, 7\) 87. \(\frac{9}{2}\) 89. \(1\) 91. \(10\) 93. \(Ø\) 95. \(3\) 97. \(-1, 2\).
E: Radical Equations (V)
Exercise \(\PageIndex{E}\)
\( \bigstar \) Solve.
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- Answers to odd exercises:
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99. \(100\) 101. \(−8\) 103. \(10\) 105. \(−13\) 107. \(\frac{5}{2}\) 109. \(−6, −4\) 111. \(−2, 2\) 113. \(1\) 115. \(−2\) 117. {-1} 119. {8}
\( \star\)