Question

prove that √3 is irrational number​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

Step-by-step explanation:

To prove root 3 is irrational

let us assume that root 3 is rational

so root 3 is the form of

$\frac{x}{y} were\\\\y\neq 0$

$\sqrt{3} =\frac{x}{y} \\\sqrt{3} y=x\\squaring\\ on\\ both \\ the \\ sides \\3x^{2} =y^{2} \\y^{2} =z^{2}$

hence root 3 is rational

but it is contradict fact that root 3 irrational and coprime hence root 3 is

irrational

hence proved