Which number is not Rational?
Much numbers !
\[\sqrt{3}\] 0.25 1/5 \[\sqrt{9}\]
Many numbers bro, just anything with unlimited decimals are irrational. Like pi or 1/3
those numbers
Aha ! \[\sqrt{9}=?\]
what?
3
The D = ???
root 3
As long as it is finite it is rational, hence infinite decimals are irrational. Like pi, which goes on unlimited but 1/2 is rational because it stops at .5
d is the answer?
wait why is 3 not rational?
Type it in a calculator and see, whichever has way too many decimals to fit, it is irrational
No ! We say : Rational numbers are this : R:{a/b|a,b in Z and isnt b= 0 } k ?
ok im confused!?!?!
@Hero
@Hero these people are confusing me
Bro, rational numbers just mean it could be represented as a fraction or no decimal place number. That's it man, anything with reoccuring or repeating decimals, that's the shtuff that's irrational
root 3 is irrational bcoz it cannot be expressed as a ratio od two coprime poitive integers
ok
while the res of them can be expressed.even root 9 is equal to + or - 3
look : In 2 : 0.25 is Rational . In 3 : 1/5 is Rational . In 4 : \[\sqrt{9}\] = 3 So in 1 can u say how is : \[\sqrt{3}=????\] So its Rational . Got it ?:)
ok still confused
If a number is rational, it can be expressed in the form \(\dfrac{a}{b}\) \(0.25 = \dfrac{1}{4}\) \(\dfrac{1}{5} = \dfrac{1}{5}\) \(\sqrt{9} = 3 = \dfrac{6}{2}\) @PvtGunner, Can we express \(\sqrt{3}\) in rational form?
No
Why not?
a and b must be real number integers by the way.
Because \[\sqrt{3}\] can only be a decimal
right?
Well, at the moment it is in irrational form, not decimal form. In decimal form, the value of \(\sqrt{3}\) can only be approximated. Nevertheless we are unable to express it in rational form. And reason is simply because \(\sqrt{3}\) is an irrational number.
OHHH ok i get it thank you @Hero
so basically if it is rational it can be written as a fraction and if not rational it cant be written as a fraction
@Hero
Well, \(\dfrac{\sqrt{3}}{1}\) is a fraction and it equals \(\sqrt{3}\) \(\dfrac{2\sqrt{3}}{2} = \sqrt{3}\) and it is also a fraction. What makes a rational number \(\dfrac{a}{b}\) unique is that a and b must be integers.
ok that makes sense
so the anwser is\[\sqrt{3}\]
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