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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 one over sixteen an irrational square root?
One over sixteen = 1/16, which is a rational number (not irrational). The square root of 1/16 = 1/4 (or -1/4), which is also a rational, so the answer is No.
No, 0.25 is rational 1/4 and 0.142857142857... is rational 1/7
Only decimals that neither terminate (e.g. 1/4 above) or repeat forever (e.g. 1/7 above) are irrational. Some examples of irrationals are pi and e (these numbers are usually named as the exact value cannot be written or calculated in a finite period of time).
Is 67 divided by a rational or irrational?
You can divide 65 by rationals and irrationals:
Divided by a rational: 65 ÷ 13/2 = 10
Divided by an irrational: 65 ÷ √13 = 5√13
Find a rational number between under root 3 and 4Solve it?
Take the square root of any number between 3 and 4 - for example, the square root of 3.1, 3.5, 3.8, etc.
Is negative 4.4 an irrational number?
Basically, an irrational number is one that cannot be expressed as a simple fraction.
Since 4.4 is equal to 4 4/10, which reduces to 4 2/5, it is not an irrational number.
Is 4.1768299 rational or irrational?
if it stops, or repeats its rational, if it keeps going it's irrational
so if the last 3 numbers are ...299 then it is rational and be written as
41768299 / 10000000
each zero for each corresponding space
No. 2 is a real number, whole number, and rational number.
What is rerational and irrational numbers?
Rational numbers can be expressed as fractions whereas irrational numbers can not be expressed as fractions
Why are some of the cubes rational and irrational?
The cubes of all rational numbers will be rational. But the cubes of irrational numbers can be either.
How is pi a non rational number?
I'm not sure whether u r asking what it means that pi is not rational (irrational is the word 4 that) or how 2 prove it. The 1st of those is much easier 2 answer. It means that there r no 2 integers (whole numbers) that u can divide, 1 by the other, 2 get a fraction that is exactly equal 2 pi.
It turns out that pi is not only irrational, but transcendental, which means it is not the root of any polynomial equation with rational coefficients. While the ancient Greeks knew about pi, and its approximate value, the irrationality of it was not proved until 1761, and its transcendence until 1882
Who is known for his definition of irrational numbers?
Hippasus, a Pythagorean philosopher is believed to have proven the existence of numbers that are not rational. However, this is not quite the same as "known for". Many (most?) mathematicians would not know who Hippasus was or what he did.
