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May 23rd

May 23rd

# Square Roots and Real Numbers

If , then x is a square root of y . A rational number, like 81, whose square root, 9, is a rational number, is called a perfect square . The number 81 has two square roots, 9 and - 9. The radical sign is used to indicate a nonnegative or principal square root. For example, A square root of a positive rational number that is not a perfect square is an irrational number. An irrational number is a number that cannot be expressed in the form , where a and b are integers and b 0. The set of rational numbers and the set of irrational numbers together form the set of real numbers . The graph of the set of all real numbers is the entire number line.

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