Question

prove that the difference and quotient of (3+2✓3) and (3-2✓3) are irrational. please solve it fast....

Answer 1

3+2√3 / 3-2√3
=3+2√3 / 3-2√3 × 3+2√3 / 3-2√3
=(3+2√3)^2 / (3)^2-(2√3)^2
=9+12-12√3 / 9-12
=111-12√3 / -3
=3(37-4√3) / 3
=37-4√3
HOPE IT HELPS U!!