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Name:   ______________________
Date:      ______________________
Period:  ______________________

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

Directions: Compare your answers with those in the Answer Key 8-2.  For any items you do not get correct, please review the Instruction and recalculate the problems.

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?
    _____________________________________________________