



How can you explain the difference between rational and irrational numbers to someone with no advanced mathematical background?
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what's the difference between rational and irrational numbers Informational
- What techniques are used to prove the irrationality of specific numbers?
- How are rational and irrational numbers used in modern science and engineering? Can you provide examples of applications in fields like physics, computer science, or engineering?
- Are the rational numbers a field?
- Definition of rational numbers
- How do rational and irrational numbers appear in the study of chaos theory?
- Can we definitively classify all real numbers as either rational or irrational?
- Is the sine or cosine of a rational multiple of π always algebraic?
- How can we develop better intuition for working with rational and irrational numbers? How do rational and irrational numbers relate to the ongoing development of mathematical knowledge?
- Can a sequence of rational numbers converge to an irrational number?
- Are trigonometric functions of rational numbers of degrees always algebraic? Can the value of a polynomial with integer coefficients be irrational if the input is rational?
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