Question

Prove √12 is irrational no.

Answer 1

Answer:

All squares are the squares of integers. Then, since 12 does not have an integer square root, its square root cannot be rational, either. To show that no integer is the square of a ratio, suppose (nm)2=k where m,n and k are integers, n/m is in lowest terms, m≠1, and all are integers.

Answer 2

√12 = √3*√4

= 2√3

as √3 is irrational and 2 is rational so overall is irrational (product of a rational nd a irrational number is always irrational)