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Some numbers cannot be expressed as terminating or repeating decimals. An example of such a number is V2, the square root of 2. The number V2 is a number that can be squared to give 2. No terminating or repeating decimal can be squared to get 2. However, some approximations have squares that come close to 2. We use the symbol , which means "is approximately equal to." V2 - 1.4 because (1.4) = (1.4)(1.4) = 1.96. V2 = 1.41 because (1.41) = (1.41)(1.41) = 1.9881. • v7 - 1.4142 because (1.4142) = (1.4142)(1.4142) 1.99996164. = V2 is an example of an irrational number.

Some numbers cannot be expressed as terminating or repeating decimals. An example of such a number is V2, the square root of 2. The number V2 is a number that can be squared to give 2. No terminating or repeating decimal can be squared to get 2. However, some approximations have squares that come close to 2. We use the symbol , which means "is approximately equal to." V2 - 1.4 because (1.4) = (1.4)(1.4) = 1.96. V2 = 1.41 because (1.41) = (1.41)(1.41) = 1.9881. • v7 - 1.4142 because (1.4142) = (1.4142)(1.4142) 1.99996164. = V2 is an example of an irrational number.

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Some numbers cannot be expressed as terminating or repeating decimals. An example of such a number is V2, the square root of 2. The number V2 is a number that can be squared to give 2. No terminating or repeating decimal can be squared to get 2. However, some approximations have squares that come close to 2. We use the symbol , which means "is approximately equal to." V2 - 1.4 because (1.4) = (1.4)(1.4) = 1.96. V2 = 1.41 because (1.41) = (1.41)(1.41) = 1.9881. • v7 - 1.4142 because (1.4142) = (1.4142)(1.4142) 1.99996164. = V2 is an example of an irrational number.
Transcribed Image Text:Some numbers cannot be expressed as terminating or repeating decimals. An example of such a number is V2, the square root of 2. The number V2 is a number that can be squared to give 2. No terminating or repeating decimal can be squared to get 2. However, some approximations have squares that come close to 2. We use the symbol , which means "is approximately equal to." V2 - 1.4 because (1.4) = (1.4)(1.4) = 1.96. V2 = 1.41 because (1.41) = (1.41)(1.41) = 1.9881. • v7 - 1.4142 because (1.4142) = (1.4142)(1.4142) 1.99996164. = V2 is an example of an irrational number.
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