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.
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2.
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Find the principal root of  .
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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 expression  when  ,
 and  . Round your
answer to two decimal places. a. |  | b. |  | c. | 11.86 | d. |  | e. | no real
solutions |
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5.
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Complete the table. Round your answer to two decimal places.
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6.
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Write  as a single radical.
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7.
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Simplify the radical  , if possible.
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8.
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Simplify the radical  . Use absolute value signs,
if appropriate.
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9.
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Simplify the radical  .
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10.
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Write  as a single radical and simplify.
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11.
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The radius r of the base of a cone is  ft, and the
height h of the cone is  ft as shown in the figure below. Find the
lateral surface area of the cone. Round your answer to one decimal place.  a. |  square feet | b. | 
square feet | c. |  square feet | d. | 
square feet | e. |  square feet |
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12.
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The formula  gives the time t (in seconds) for a
pendulum of length L (in feet) to go through one complete cycle, both forward and back (its
period). Find the period of the pendulum clock if the length is  feet. Round
your answer to two decimal places. a. |   | b. | 
second | c. |  second | d. | 
second | e. |  second |
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13.
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Simplify the expression  .
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14.
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Find the product of  and its conjugate.
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15.
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Enter the number  in your calculator and repeatedly take the
square root. What number does the display appear to be approaching? a. |  | b. |  | c. |  | d. |  | e. | The display is not approaching a number. |
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16.
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Solve  , if possible.
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17.
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Solve the equation  .
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18.
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Solve  , if possible.
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19.
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Find the distance between  and  .
Round your answer to two decimal places.
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20.
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The time t, in seconds, for a free falling object to fall d feet
is given by  . If a construction worker drops a nail from a
building and observes it strike a water puddle after  seconds, what is the height
from which the nail was dropped? a. |  feet | b. | 
feet | c. |  feet | d. |  feet | e. | 
feet |
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