Multiple Choice Identify the
choice that best completes the statement or answers the question.
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1.
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Find the principal square root of  , if possible. Do not use a
calculator.
a. | 14 | b. |  | c. |  | d. |  | e. | no real roots |
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2.
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Classify the number  as rational or irrational.
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3.
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Classify the number  as rational or irrational.
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4.
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Evaluate the radical expression (if possible) without using a
calculator. 
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5.
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Evaluate the radical expression  without using a calculator.
If not possible, state the reason.
a. |  | b. |  | c. |  | d. |  | e. | not a real
number |
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6.
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Simplify the radical  , if possible.
a. |  | b. |  | c. |  | d. |  | e. | cannot be
simplified |
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7.
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Simplify the radical  , if possible.
a. |  | b. | 2 | c. |  | d. | 121 | e. | cannot be
simplified |
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8.
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The four corners are cut from a 3-foot-by- 6-foot sheet of plywood, as shown in
the figure. Find the perimeter of the remaining piece of plywood. In the figure  .
Round your answer to two decimal places. 
a. | 26.94 feet | b. | 10.24 feet | c. | 14.49
feet | d. | 21.94 feet | e. | 22.66 feet |
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9.
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Multiply and simplify. 
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10.
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Multiply and simplify the expression. 
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11.
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Multiply and simplify. 
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12.
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Complete the statement. 
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13.
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Solve  , if possible.
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14.
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Use the Pythagorean Theorem to find the value of x. Round your answer to
two decimal places. 
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15.
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Subtract  and write in standard form.
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16.
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Determine the values of a and b that satisfy the
equation. 
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17.
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Perform the operation  and write the result in
standard form.
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18.
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Perform the operation and write the result in standard form. 
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19.
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Multiply  by its complex conjugate and
simplify.
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20.
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Multiply  by its complex conjugate and
simplify.
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