Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN: 9781133382119
Author: Swokowski
Publisher: Cengage
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Question

 Use the method of proof by contradiction to prove the following statements.

a. Prove that the square root of 6 is irrational.

b. Suppose a,b, and c are integers. If a^2 + b^2 = c^2, then a or b is even.

c. For every positive x such that x is a rational number, there is a positive y such that y is a rational number for which y < x.

d.  If a and b are positive real numbers, then a + b is greater than or equal to 2 * SQRT(ab).

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