Answered: (a) Suppose x is an irrational number.…

(a) Suppose x is an irrational number. Show that there is an integer n such that |x – n| < 1/2. (b) Prove or disprove that the product of two irrational numbers is always an irrational number.

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter5: Factoring Polynomials

Section5.4: Multiplying Binomials Mentally

Problem 49WE

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Question

(a) Suppose x is an irrational number. Show that there is an integer n such that |x – n| < 1/2.
-
(b) Prove or disprove that the product of two irrational numbers is always an irrational number.

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