Problems | Answer Key

Practice Exercise 8-2 (click HERE for a printer-friendly version)

Directions: Please complete the problems below. When you finish, compare your answers with those in the Answer Key 8-2 that follows. For questions you do not get correct, please review the instruction.

Answer the following questions.

  1. What is the difference between a rational number and an irrational number?
    _____________________________________________________
    _____________________________________________________
  2. What is the difference between a real and an imaginary number?
    _____________________________________________________
    _____________________________________________________
    _____________________________________________________
  3. What does 273 mean?
    _____________________________________________________

Multiplying the factors in the following:

  1. 42 = ____________________
  2. 33 = ____________________
  3. 54 = ____________________
  4. 25 = ____________________

Find all of the square roots indicated for the following terms:

  1. = ____________________
  2. = ____________________
  3. = ____________________
  4. = ____________________

Find the positive roots for the following terms:

  1. = ____________________
  2. = ____________________
  3. = ___________________
  4. = ____________________

Use Table 1 or a calculator to find the positive square roots of the following terms (to two decimal places).

  1. = ____________________
  2. = ____________________
  3. = ____________________
  4. = ____________________
  5. Why can't you calculate the square root of -2?
    _____________________________________________________

 

Answer Key 8-2  (click HERE for a printer-friendly version) (top)

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.
  4. 42 = 16
  5. 33 = 27
  6. 54 = 625
  7. 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).

Play Square Root Flashcards by going to the website below:
www.aplusmath.com/Flashcards/sqrt.html.

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