Question

prove that √3 is irrational​

Answer 1

root 3 = 1.7320508076

we can clearly see that the numbers are non recarring and non terminatting which means that the no. is irrational...

Answer 2

Step-by-step explanation:

Let √3 is Rational no.

√3 =p/q p and q are (co-prime no.)

( i.e. they do not have come factor 0 then1 )

√3q=p

3q square= p square

3 divide p sq

q sq divide p sq

3 divide p

let, p = 3r

p sq = 9r sq

3q sq = 9 r sq

q sq = 9/3 r sq

q sq = 3 × r sq

3 divide q sq and divide r sq

3 divide q

3 divide p and q

3 is common factor of p and q ( 0 then 1)

its leads to contradiation

therefore √ 3 is irrational no.