5.44. Show that there exist two distinct irrational numbers a and b such that a" is rational. 5.45. Show that there exist no nonzero real numbers a and b such that va? + b? = Va3+b3.
5.44. Show that there exist two distinct irrational numbers a and b such that a" is rational. 5.45. Show that there exist no nonzero real numbers a and b such that va? + b? = Va3+b3.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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5.45 Using Complete sentences include suppose, consider, etc. when necessary

Transcribed Image Text:5.44. Show that there exist two distinct irrational numbers a and b such that a is rational.
5.45. Show that there exist no nonzero real numbers a and b such that va? + 62
Va3 +63.
5.46. Prove that there exists a unique real number solution to the equation r + m2
1 = 0 between r = 2/3 and r = 1
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