Question

prove That 5 - 2√3 is irrational

Answer 1

Answer:

bro try to prove it by contradiction

Answer 2

Answer:

Let assume,

5 - 2√3 be a rational number

5 - 2√3 = p/q (where p and q are integer and q ≠ 0)

-2✓3 = (p-5q)/q

✓3 = (p-5q)/-2q

(p-5q)/-2q is a integer.

Therefore, (p-5q)/-2q is rational number.

It means ✓3 is also rational.

But ✓3 be a irrational number

This contradiction is due to our wrong assumption.

THEREFORE,

5 - 2√3 is irrational.

HOPE IT HELPS YOU