Question

Prove that 3 + 2✓ 5 is irrational​

Answer 1

Step-by-step explanation:

Assume that 3+2

5

is rational. Then,

3+2

5

=

b

a

5

=

2b

a−3b

This gives that

2b

a−3b

is rational but

5

is an irrational number, therefore, the assumption is wrong.

Hence, 3+2 ✓5 is irrational

Answer 2

Step-by-step explanation:

it is irrational because 2root5 is irrational