Question

Prove √3 is an irrational number.​

Answer 1

ǫᴜᴇsᴛɪᴏɴ →

Prove √3 is an irrational number.

ᴀɴsᴡᴇʀ →

Then

√3 = p/q, where p, q are the integers i.e., p, q ∈ Z and co-primes, i.e., GCD (p,q) = 1. Here 3 is the prime number that divides p2, then 3 divides p and thus 3 is a factor of p. ...

Therefore,

the root of 3 is irrational.