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Lesson 8
 Powers, Roots and Radicals
Practice Exercise 8-2 Answer Key

Directions: Correct Practice Exercise 8-2 using the Answer Key below.

  1. What is the difference between a rational number and an irrational number?

    A rational number is one that specifies an exact value, while an irrational number has a continuing remainder and does not specify an exact value.

  2. What is the difference between a real and an imaginary number?

    A real number stands for a specific mathematical value.  An imaginary number does not stand for any value that we can recognize or calculate by using any of the math that we have learned.

  3. What does 273 mean?

    To cube 27, or raise it to the third power, which is 27 x 27 x 27.
  1. 42 = 16

  2. 33 = 27

  3. 54 = 625

  4. 25 = 32
  1. =

  2. =

  3. =

  4. =
  1. = 3

  2. = 4

  3. = 10

  4. = 2
  1. = 3.74

  2. = 5.39

  3. = 6.78

  4. = 8.12

  5. Why can't you calculate the square root of -2?

    The square root of -2 is an imaginary number, because a positive times a positive equals a positive, and a negative times a negative equals a positive, so there is no number that can be multiplied by itself to get a negative two (-2).