Question

shows that
number
2 root 3
is
an irrational
​

Answer 1

Answer:

Let 2 root 3 is a rational number

therefore 2 root 3 = p/q

: root 3 = p/2q

We know that root 3 is an irrational number and 2p/q is a rarional number

therefore root 3 is not equal to 2p/q

Hence 2 root 3 is an irrational number by indirect proof

Answer 2

let2√3be a rational no.Now if 2√3 is a rational no. then 2√3=P/q

/2q=√3

here,P/2q is a rational no. while √3is irrational

and we know that rational is not equal to irrational

therefore,it is contradiction

and hence 2√3 is an irrational no.

proved