Kindly correctly and handwritten also asap a. Show that if a, b, c, d e Z with a +b√2 = c + d√2, then a = c and b = d. Youuse, without proof, the fact that √2 Q.b. Let W = {a+b√21 a, b e Z}. Is W countable? Explain why or why not. You mayuse the result in part (a).+ Drag and drop an image or PDF file or click to browse...

Answered: Image /qna-images/answer/1526db48-38bf-4710-b1f6-46e76c8b6d11.jpg

a. Show that if a, b, c, d e Z with a +b√2 = c + d√2, then a = c and b = may use, without proof, the fact that √2 Q. b. Let W = (a + b√2 a, b E Z}. Is W countable? Explain why or why not. You may use the result in part (a). +Drag and drop an image or PDF file or click to browse...

a. Show that if a, b, c, d e Z with a +b√2 = c + d√2, then a = c and b = may use, without proof, the fact that √2 Q. b. Let W = (a + b√2 a, b E Z}. Is W countable? Explain why or why not. You may use the result in part (a). +Drag and drop an image or PDF file or click to browse...

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.3: Zeros Of Polynomials

Problem 69E

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Kindly correctly and handwritten also asap

a. Show that if a, b, c, d e Z with a +b√2 = c + d√2, then a = c and b = d. You
use, without proof, the fact that √2 Q.
b. Let W = {a+b√21 a, b e Z}. Is W countable? Explain why or why not. You may
use the result in part (a).
+ Drag and drop an image or PDF file or click to browse...

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