Question

prove that 3 + 2 root 5 is irrational​

Answer 1

to prove

$3 + 2 \sqrt{5} \: is \: irrational$

proof

let us assume 3 + 2 root 5 is rational

so 3 + 2 root 5 can be written as P by q where Q is not equal to zero

$\sqrt{5} = \frac{p}{q \times 2} - 3$

$\sqrt{5} is \: equal \: to \: \frac{p}{q \times 2} - 3$

our examination as 3 + 2 root 5 is rational is wrong

because root 5 is irrational

hope it will help you