Question

3 + root 5 is irrational with proof​

Answer 1

Step-by-step explanation:

Let us assume as rational number..

$3 + \sqrt{5} = \frac{x}{y} \\ \sqrt{5 } = \frac{x}{y} - 3 \\ \sqrt{5} = \frac{x - 3y}{y} \\ hence \: \sqrt{5} is \: irrational \: number \\ but \: \frac{x - 3y}{y} \: is \: rational \: number.... \\ so \: irrational \: number \: is \: not \: equal \: to \: rational \: number..$

So our assumption is contradiction...

So that is a irrational number..

Please mark me as brainliest... ❤️