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Irrational Numbers
An irrational number is a number that can't be expressed by a fraction having integers in both its numerator and denominator. While their existence was once kept secret from the public for philosophical reasons, they are now well accepted, yet still surprisingly hard to prove on an individual basis. Please post all questions about irrational numbers, including the famous examples of π, e, and √2, into this category.
3,962 Questions
How do you find two rational and irrational nos?
1, 2 are rational and square root of 2 and pi are irrational.
What is a set of numbers made up of rational numbers and irrational numbers?
The set of real numbers.
What is the difference between rational basis and strict scrutiny?
Almost every law that comes under strict scrutiny has been reversed, and almost every law that has come under rational scrutiny has been upheld. The different levels of scrutiny define the different standards the state law must pass. For a law to pass strict scrutiny, it must be narrowly tailored and least restrictive and the state must have a compelling state interest for its enactment. For a law to pass rational scrutiny, it must be rational (the law can be over-inclusive and under-inclusive) and the state has to show that it was accomplished legally. The state only has to show that the reason for its enactment is legitimate. The burden of proof also shifts from the defendant in rational scrutiny to the state in strict scrutiny.
In that case, the discriminant is not a perfect square.
What is the difference between irrational and unreasonable?
Unreasonable refers to the violation of a qualitative expectation. For example, When I told my daughter that she would have to go to the doctor, she behaved unreasonably by throwing a temper-tantrum.
Irrational refers to violation of a quantitative or mathematical expectation. For example, Even though war was imminent, the President decided irrationally to disband the army.
There is a lot of crossover between irrational and unreasonable, but at the extremes, those are the differences.
How can we use the number line to find the distance between two rational numbers?
By finding the difference of them
Is 17.55 rational or irrational?
17.55 is rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.
