Question

prove that 2+3root 5 is irational​

Answer 1

Answer:

$2 + 3 \sqrt{5} cant \: be \: expressed \: in$

$the \: ratio \: of \: p \div q$

$so \: it \: is \: a \: irratonal \: number.$

Answer 2

Step-by-step explanation:

2+3√5 =(2+3√5)^2

=4+45+2*2*3√5=49+12√5

let 2+3√5 be p

let p be rational.

so, p^2 is also rational

so p can divide p^2 and p^2 is rational but it is not happening

so , our assumption is weong

so,

p is irrational

=2+3√5 is irrational