Problems 8-1 | Answer Key 8-1 | Problems 8-2 | 
Answer Key 8-2  

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

Directions: Complete the exercises 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. Why is the square root of 14 an irrational number?_________________________________________________
    ________________________________________________________
    ________________________________________________________

  2. Why is an imaginary number?____________________________
    ________________________________________________________
    ________________________________________________________
     
  3. What does 153 mean?_______________________________________
    ________________________________________________________
    ________________________________________________________

Multiply the factors in the following:

  1. 122 = _____________________

  2. 43 = ______________________

  3. 64 = ______________________

  4. 63 = ______________________

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. = _____________________

Multiply as indicted:

  1. = ________________

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

Correct the Problems 8 -2 using the answers below.
  1. Why is the square root of 14 an irrational number?

    It calculates out to 3.741657387, has a continuing remainder and is not an exact value, and we cannot represent it by dividing one integer into another.

  2. Why is an imaginary number?

    Because (+2) x (+2) = +4, and (-2) x (-2) = +4; so there is no real number that can be multiplied by itself to get -4.

  3. What does 153 mean?

    To cube 15, or raise it to the third power, by taking 15 x 15 x 15.

Multiply the factors in the following:

  1. 122 = 144

  2. 43 = 64

  3. 64 = 1296

  4. 63 = 216

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

  1. =

  2. =

  3. =

  4. =

Find the positive roots for the following terms:

  1. = 3

  2. = 5

  3. = 10

  4. = 8

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

  1. = 4.12

  2. = 5.39

  3. = 7.07

  4. = 9.38

Multiply as indicted:

  1. = 15

 

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