Question

2underroot3 is an irrational number

Answer 1

let2√3 be rational no.
then it can be written in the form of p/q
(where p and q are co-prime no. and q is not equal to 0.)
2√3 = p/q
√3 = p/q/2
but √3 is irrational . So it gives a contradiction . So our sopposition is wrong. 2√3 is an irrational no.
Hence Proved