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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
Is 53672. an irrational number?
No. It can be written as a fraction (53672/1) so it is a rational number.
Is -9.5 rational or irrational?
9.5 is rational. Rational numbers are numbers that can be written as a fraction. Irrational Numbers cannot be expressed as a fraction.
What is the difference between writing a number in exponential form than repeated multiplication?
The exponential form is easier and faster to write, easier to read, easier to tell
other people about, and easier to spot the mistake if somebody copies it wrong.
Is -0.563 an irrational number?
-0.563 is the ratio of -563 to 1,000, and also the ratio of 1,126 to -2,000, and also
the ratio of -2,815 to 5,000, and also the ratio of -3,941 to 7,000, and also an infinite
number of other ratios of whole numbers. Any one of them is enough to prove that
-0.563 is rational.
Is 1.479251373 rational or irrational?
1.479251373 is rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.
What type of number can you take the square root of and it will be irrational?
Any irrational number, and most rational number.
What is the difference between rational numbers and fractional numbers?
A fraction is a ratio of two numbers. Fractions are typically ratios of integers (where the denominator is not zero), which makes them "rational." The root word of rational is ratio.
You could have pi/2, or sqr(2)/2, both of which are fractions that are NOT rational.
Who is the inventor of irrational numbers?
An ancient Greek mathematician in the era of Pythagoras is said to have been murdered by his fellow secret society members for discovering the (now well-known) proof that square root of 2 is irrational.
How is an irrational number defined?
An irrational number is a number that cannot be expressed as the quotient of two integers and is a continuous quantity.
Is 0.02020202 a irrational number?
No because it is a rational number that can also be expressed as a fraction
What is an irrational number and symbol?
An irrational number is a number that cannot be represented by a ratio of two integers, in the form x/y where y > 0. There is no particular symbol for irrational numbers. The set notation R∩ Q', representing Reals (R) other than Rationals (Q) may be used.
If you divide 2 irrational numbers is the answer always an irrational number?
No, not always. For example, sqrt(2) is irrational (1.41421...), but sqrt(2)/sqrt(2) = 1. 1 is a rational number. Similarly, 2*sqrt(2) is irrational (2.82842...), but sqrt(2)/(2*sqrt(2)) = 1/2. 1/2 is a rational number.
Give a proof that the square root of 3 is an irrational nu?
It is a prime number that has only factors of itself and one therefore it is an irrational number like all prime numbers are.
Is 2.5 2 an irrational number?
Most probably the answer is NO, but the space between 2.5 and 2 is confusing.
Yes because it can be expressed as an improper fraction in the form of 1405/1
What standards separate a real number from an irrational number?
An irrational number is a real number.
What is the real number in 101.7?
The real number in '101.7' is 101. A real number is a positive whole number.
