Question

Prove that 3 + 2√5 is irrational​

Answer 1

Answer:

3+2root 5 is an irrational number

Step-by-step explanation:

Let 3+2oot 5 be a rational no. a

therefore,

3+2root 5 = a

2 root5 = a‐3

root 5 = a‐3/2

therefore,

root 5 is an irrational number

therefore,

a‐3/2 is a rational number

therefore,

it is not possible that a rational is equal to irrational

Hence, proved 3+2root is an irrational number