Problem 4. Let n be an integer. Show that if 2+ 2/1+ 12n² is an integer, then it is the square of an integer.
Problem 4. Let n be an integer. Show that if 2+ 2/1+ 12n² is an integer, then it is the square of an integer.
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
Chapter2: Working With Real Numbers
Section2.7: Problem Solving: Consecutive Integers
Problem 14OE
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One way of solving it might be getting rid of the expression in square root form first.
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