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Chapter 7  Powers and Square Roots

7- 4 Introducing Square Roots

The opposite of squaring a number is taking the square root. For example:
  • The square of 4 is 16
  • The square root of 16 is 4
The main parts of square-root expression are the radical sign and the radicand. The radical sign tells us to take the root of the radicand. fig070501.jpg (6804 bytes)

The table shown here lists the Squares for integers between 1 and 9. The Square Roots column shows how we can use square roots to convert the squares back to their roots.

Notes

  • Ö 0 = 0
  • Don't bother trying to find the square root of a negative number such as:

Ö –9.

The solution exists, but not in the real number system. Pre-algebra courses deal only with the real number system, so you aren't responsible for finding square roots of negative numbers.

Squares Square Roots
12 = 1 Ö 1 = 1
22 = 4 Ö 4 = 2
32 = 9 Ö 9 = 3
42 = 16 Ö 16 = 4
52 = 25 Ö 25 = 5
62 = 36 Ö 36 = 6
72 = 49 Ö 49 = 7
82 = 64 Ö 64 = 8
92 = 81 Ö 81 = 9
102 = 100 Ö 100 = 10

You should learn to use the square root key fig070401.jpg (2182 bytes) on a calculator to find square roots of any real number. That way you can verify the solution to the following examples.

Examples and Exercises

Square Roots

Use a calculator to find the square roots of the given numbers. Round your answer to the nearest hundredth.

Work these problems until you can do the work without making any errors.

Author: David L. Heiserman
Publisher: SweetHaven Publishing Services

Copyright © 2006, David L. Heiserman
All Rights Reserved