Question

prove that 2/√3 is an irrational number​

Answer 1

Answer:

Let, 2/√3 be rational number.

we know that rational number in the form of p/q form where p and q are integer.

p/q=2√3

p/2q = √ 3

p/2q in the form of p/q form and we know that

√3 is an irrational number.

:.My contradiction is wrong.

:.p and q are co- prime.

Hence,2√3 is an irrational number.