Question

What is an irritational number?

Answer 1

it is a number that you CANNOT express as a quotient of two integers

Answer 2

An irrational number is a number which CANNOT be expressed in the form p/q where p and q are BOTh integers

Answer 3

the integers are -1, -2, -3, 0, 1, 2, 3, etc

Answer 4

pi is irrational, so is e

Answer 5

An irrational number is a number which does not repeat nor terminate in its decimal expansion.

Answer 6

so if you cannot express it as a sum of two integers then it is considered irrational

Answer 7

iota is irrational too, in fact it isn't even real :)

Answer 8

\(i\) is not \(\iota\).

Answer 9

So pie is irrational

Answer 10

pi* yes

Answer 11

\(\pi\) is also considered transcendental.

Answer 12

What else?

Answer 13

Sarah, there are too many numbers to reasonably answer that question. The irrational numbers are denser than the rational numbers.

Answer 14

Just gimme like 2 examples please

Answer 15

\(\phi\), \(e\), \(\sqrt{2}\), \(\gamma\), . . .

Answer 16

pi and e...

Answer 17

gamma is a number of a variable?

Answer 18

or*

Answer 19

\(\gamma\) is the Euler-Mascheroni constant.

Answer 20

\[\gamma = \lim_{n \rightarrow \infty } \left(
\sum_{k=1}^n \frac{1}{k} - \ln(n) \right)=\lim_{b \rightarrow \infty } \int_1^b\left({1\over\lfloor x\rfloor}-{1\over x}\right)\,dx.\]

Answer 21

Wat gamma?

Answer 22

lol I don't understand :P

Answer 23

I'm not a calculus guy :P

Answer 24

It's a constant used in analysis and number theory.

Answer 25

I cee I cee :D

Answer 26

Ok

Answer 27

\(\sqrt{2}\) is cool just because it got a guy threw off a cliff.

Answer 28

Really!?!?!

Answer 29

Yes. I'm not lying.

Answer 30

Well, \(\sqrt{6}\) is irrational too

Answer 31

:p

Answer 32

There was a famous Pythagorean who proved that \(\sqrt{2}\) is irrational. When he proved this, he destroyed the foundation of the cult of Pythagoras. They threw him into the Thales river as a result in order to shush his discovery.

Answer 33

Wth lol what foundation did he destroy exactly?

Answer 34

The Pythagoreans believed that all of the world could be expressed in terms of rational numbers.

Answer 35

Uh oh lol :P

Answer 36

They saw irrational numbers as disgusting things which did not exist.

Answer 37

Woww

Answer 38

Math is pretty cool, isn't it, @sarah_98?

Answer 39

^

Answer 40

Idk i have a math exam tommorow and i dont under understand a thing

Answer 41

Well, it won't get you thrown off a cliff. So, cheer up.

Answer 42

:/ im sure im gna fail

Answer 43

\[\frac \pi1\]

Answer 44

there are 2 ways that values can be written; as a ratio of digits, or as a symbol that represents the value.

if a number can be written as a ratio of digits (2/3, 5/1, -3.654/44.321) they are called ratio-nal numbers

if they cannot be written as a ratio of digits (and they happen to come up enough to be important), then they are written as a symbol; sqrt(2), pi, e, credence clearwater revival. These are called non-ratio-nal numbers. "ir" is another prefix meaning "not".

Answer 45

"credence clearwater revival"

lolwut