Question

Prove 5+2root 3 is irration.

Answer 1

let,5+2✓3 is a rational no.

5+2✓3 =a/b

2✓3 = a/b -5

✓3 =a - 5b/2b

as we know , ✓3 is irrational no.

so, irrational is not rational and a-5b/2b is rational no.

this contradiction is arisen due to our wrong assumption . that, 5+2✓3 is rational .

so, we considered that 5+2✓3 is irrational no.