Question

√3 is iratinal prove​

Answer 1

let √3 be a rational number, then

√3=a/b (where a and b are co prime).

√3b=a. ......(í)

on squaring both side of eq. í,

we get,

3b²=a². ......(íí)

let a²=c

then,

c= 3b². .......(ííí)

From eq. í, íí and ííí we get that a and b have common factor 3 but initially we had said that a and b are co prime. So,o ur assumption was wrong and by the method of contradiction, √3 is irrational...

hope this helps ..