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What else can I help you with?
Which is a greater category of numbers rational or irrational?
Irrationals.
Is there a function that is continuous everywhere differentiable at rationals but not differentiable at irrationals?
No.
Is there rational numbers than irrational?
There are infinitely many rational numbers and irrational numbers but the cardinality of irrationals is larger by an order of magnitude.If the cardinality of the countably infinite rational numbers is represented by a, then the cardinality of irrationals is 2^a.
Is the densest subset of real numbers is set of fractions?
No, the irrationals are more dense.
Are there more rational numbers or irrational Numbers?
No. The number of irrationals is an order of infinity greater.
Is a real number either a rational or an irrational number?
Yes, reals are rationals and irrationals.
Is there more rational numbers than irrational numbers?
No, the set of irrationals has a greater cardinality.
Is Sqrt3 plus sqrt5 Irrational?
Two different irrationals can't make a rational...
What is the sign for an irrational number?
There is no specific sign. The set of irrationals can be written as R - Q.
Is there a rational number between any two irrational numbers?
Yes. To find it, evaluate both irrationals until the numbers show a difference in one of their later digits. Truncate the irrationals after this digit, sum them, then divide by 2. Job done.
Are half of irrational numbers rational?
No, nowhere near. Georg Cantor proved that the number of rational numbers is countably infinite whereas the irrationals are uncountably infinite. If you take the number of rationals to be N then the number of irrationals is of the order 2^N.
Diff kind of real numbers?
Natural (or counting) numbers Integers Rationals Irrationals Transcendentals
