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Square Roots Help

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By — McGraw-Hill Professional
Updated on Sep 22, 2011

Square Roots

Previously you learned how to square a number. For example, 7 2 = 7 × 7 = 49 and 3 2 = 3 × 3 = 9. The opposite of squaring a number is taking the square root of a number. The radical sign Square Roots is used to indicate the square root of a number, so Square Roots because 4 2 = 16 and Square Roots = 5 because 5 2 = 25.

Numbers such as 1, 4, 9, 16, 25, 36, 49, etc., are called perfect squares because their square roots are rational numbers.

Irrational Numbers

The square roots of other numbers such as Square Roots , Square Roots , Square Roots , etc., are called irrational numbers because their square roots are infinite, non-repeating decimals. For example Square Roots and Square Roots In other words, the decimal value of Square Roots cannot be found exactly.

Math Note: The easiest way to find the square root of a number is to use a calculator. However, the square root of a perfect square can be found by guessing and then squaring the answer to see if it is correct. For example, to find Square Roots , you could guess it is 12. Then square 12. 12 2 = 144. This is too small. Try 13. 13 2 = 169. This is still too small, so try 14. 14 2 = 196. Hence, Square Roots .

Real Numbers

The set of numbers which consists of the rational numbers and the irrational numbers is called the real numbers.

 

Practice problems for these concepts can be found at: Informal Geometry Practice Test.

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