Question

3+2√5 is rational or irrational​

Answer 1

Answer:

3+2√5 is irrational number.

Step-by-step explanation:

Prove

Let be 3+2√5 is rational number

3+2√5 = a

b

2√5 = a -2

b

2√5 = a-3b

b

√5 = a - 3b

2b

Since 3,2,a and b are integers a-3b is rational ,

2b

and so ,√5 is rational. But this contradicts the fact that √5 is irrational. so , we conclude that 3+2√5 is irrational number.