Question

show that 2+√3 is an irrational number.​

Answer 1

Step-by-step explanation:

Let 2 + root 3 ( rational number) equal to a where a is natural number

2 + root 3 = a

root 3 = a - 2

here a and 2 are rational number but root 3 is not rational number ( irrational number)

If we subtract 2 from a it comes natural number ( rational number)

here a - 2 equal to root 3 where root 3 is irrational number

So 2 + root 3 is irrational number