Question

ਸਿੱਧ ਕਰੋ √3 ਇੱਕ ਅਪਰਿਮੇਯ ਸੰਖਿਆ ਹੈ​

Answer 1

Step-by-step explanation:

I know it's answer but in english

let us suppose √3 is a rational number(parimay sankhiya)

√3/1=a/b

a=√3b(1)

squaring (^) both sides

a^2=3b^2

a^2=3b^2+0

3 divides a^2

3divides a

a=3c+0 where c is any integer (Puran sankhiya)

a=3c

√3b= 3b from (1)

squaring both sides

√3b^2=9c^2

b^2=9c^2/3

b^2=3c^2

3 divides b^2

3 divides b it means a and b have a common factor 3 which predicts the fact that a and b have no common factor other than 1 this means √3 is a irrational number(aparimay sankhiya)

Hope this is helpful