Question

Prove that 3+2√5 is irrational​

Answer 1

Step-by-step explanation:

Hope it helps you

Please mark me the Brainliest

Answer 2

Answer:

Given :3+2 root 5

to prove:3+2root 5is an irrational number

prove

let us assume that 3+2root 5 is a rationale number

so

it can be written in from a/b

solving 3+2root5 =a/b

we get

>2root 5 a/b-3

>2root 5 =(a-3b)/6

>root5 =(a-3b)/2b

this show that ( a-3b) / 2bis a rational number

but

we know that root 5 is a irrational so it contradiction assumptions of number is incorrect

3+2root is a rational number

3+2 root 5 is an irrational number