Question

what is difference between rational no and irrational no?? @Physics

Answer 1

?

Answer 2

plz giv example

Answer 3

a rational number can is the ratio of two natural numbers, and a irrational can't be written in this form

Answer 4

4/3 is a rational , and pi is irrational

Answer 5

example plzz

Answer 6

why???

Answer 7

i can represent pi as 22/7???

Answer 8

here's a more precise exemple is square root of 2

Answer 9

??

Answer 10

Rational numbers are any whole numbers, or numbers with terminating decimals (1/2, 3/4, 7, 1932, etc.). Irrational numbers are numbers such as the square root of a non perfect square. Or 1/3. 1/3=.3 repeating. It never ends, so it is irrational.

Answer 11

confused

Answer 12

oh?!

Answer 13

A short proof of this result is to obtain it from rational root theorem, that if p(x) is a monic polynomial with integer coefficients, then any rational root of p(x) is necessarily an integer. Applying this to the polynomial p(x) = x2 − 2, it follows that √2 is either an integer or irrational. Because √2 is not an integer (2 is not a perfect square), √2 must therefore be irrational.
thanks wiki

Answer 14

so what is 2.5436523768?

Answer 15

if you can find two numbers such that p/q = 2.5436523768 then it's a rational number

Answer 16

i thought it is surely rational!!

Answer 17

??

Answer 18

ie multiply and divide by two lol

Answer 19

it is because it has a finite number of decimals

Answer 20

not by 2 but by 10^10

Answer 21

so that you have 25436523768 / 10^10

Answer 22

shalll i finalize that irrational nos have non ending decimal places??

Answer 23

yes, but it is not sufficient to say that they are irrational
because 4/3 = 0.3333333" and it's a rational number

Answer 24

so do rational numbers

Answer 25

oh i am confused how i differentiate both??

Answer 26

:(

Answer 27

go from the definition. a rational number is any number that can be written as
\[\frac{a}{b}, a, b \in \mathbb Z\]

Answer 28

an irrational number therefore is any number that CANNOT be so written

Answer 29

hey then opi must be rational i can write itr as 22/7

Answer 30

i am not sure what you mean. opi?

Answer 31

pi

Answer 32

it's an approximation of pi (a bad one)

Answer 33

if it were true that
\[\pi=\frac{22}{7}\] then yes, it would be rational. but it is not

Answer 34

oh so real line contains both rational anad irrational nos???

Answer 35

\[\pi \text{ cannot be written as an integerover an integer soit is irrational}\]

Answer 36

yes it does an betwen each 2 rational number ther's an irrational number , and vice-verca

Answer 37

@myininaya i guess you would know from your cute avatar (or whatever that is) could you imagine having it be
\[\Huge \color {red} {\frac{22}{7}}\] instead?

Answer 38

giv me some more examples of rational nos

Answer 39

i hate rational numbers
i like being irrational

Answer 40

the e number

Answer 41

any number you know basically. any ratio of two integers, or any integer

Answer 42

e number is irrational

Answer 43

?

Answer 44

srry giv example of irrational nos

Answer 45

\[\sqrt{a}\] if a is not a perfect square

Answer 46

is root -a irrAtional???

Answer 47

√2 , and φ the golden number

Answer 48

when a not perfect square??

Answer 49

All terminating decimals are rational numbers, because by multiplying and dividing by an appropriate power of 10, they can be written as ratios, e.g. 0.235 x 1000/1000 = 235/1000. All nonterminating decimals that consist of a repeating pattern, eg. 0.33333.... or 0.142857142857... are also rational numbers, again because by a slightly more complicated algorithm they can also be written as ratios, e.g.

x = 0.33333.....

10x = 3.3333.....

9x = 3.3333.... - 0.3333.... = 3

x = 3/9 = 1/3.

What is left, e.g. decimals that do not terminate or consist of a repeating pattern, are irrational numbers. Pi, e, and the square roots of numbers that are not perfect squares the most common examples, but there are an infinite number of irrational numbers.

Answer 50

rational: repeating decimal

irrational= non-repeating decimal