Question

prove that √3 is irrational number​

Answer 1

you assume to the contrary that √3 is a rational number. where p and q are co-primes and q≠ 0. It means that 3 divides p2 and also 3 divides p because each factor should appear two times for the square to exist. ... This demonstrates that √3 is an irrational number....

Answer 2

Answer:

let √3 is rational no

then , it have no common factor

√3= a/b

squaring both side

3= a²/b²

3b²= à².......१

here a² divides 3

a divides 3 also

let a be 3c

form eq१

3b² = (3c)²

3b² = 9c²

b²= 3c²

here b² divides 3

b divides 3 also

here we get a and b have common factor 3

hence our assumption that √3 is rational is wrong

hence √3 is not rational no

hence √3 is irrational no