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There are more Irrational Numbers than rationals.

  • The diagonal of a 1 x 1 square is irrational.
  • pi, the ratio of the circumference and diameter of a circle is irrational. Almost anything to do with circular, spherical, ellipsoidal shapes will involve pi.
  • pi is also involved in harmonic motion - pendulums, sound waves, light waves, a springboard bouncing up and down (except that damping will soon stop it).
  • e, the base of logarithms and whose real significance is apparent in advanced mathematics, is irrational.
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Q: What is a real life applications of irrational numbers?
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Are real numbers irrational numbers?

No, but the majority of real numbers are irrational. The set of real numbers is made up from the disjoint subsets of rational numbers and irrational numbers.


If reality is rational is there also a reality in irrational?

Yes. In mathematics there are irrational numbers that are a subset of real numbers. In real life, there are actions taken that are irrational but the fact that they are taken makes them part of reality.


What are Daily life applications of real numbers?

There are many examples of daily life applications of real numbers. Some of these examples include clocks and calendars.


True or false irrational numbers are not real numbers?

False. Irrational numbers are real numbers.


If a number is a real number then is it also an irrational number?

No. All irrational numbers are real, not all real numbers are irrational.


Is an irrational number cannot be a real number?

Irrational numbers are real numbers.


Are some irrational numbers not real?

No. Irrational numbers by definition fall into the category of Real Numbers.


Are all irrational numbers real number?

All irrational numbers are real, but not all real numbers are irrational.


Is every irrational number a real number and how?

The set of real numbers is defined as the union of all rational and irrational numbers. Thus, the irrational numbers are a subset of the real numbers. Therefore, BY DEFINITION, every irrational number is a real number.


Can all real numbers be irrational?

Irrational numbers are real numbers because they are part of the number line.


Are imaginary numbers irrational numbers?

No. Irrational numbers are real numbers, therefore it is not imaginary.


Is an irrational number a real number?

An irrational number is any real number that cannot be expressed as a ratio of two integers.So yes, an irrational number IS a real number.There is also a set of numbers called transcendental numbers, which includes both real and complex/imaginary numbers. Of this set, all the real numbers are irrational numbers.