Question

prove 1/√3 is a irrational

Answer 1

Let as assume to the contrary that 1/✓3 is rational number
1/✓3= P/Q { where p and Q are co-prime and Q not equal to 0}
✓3 P =Q .1
✓3 = Q/P
✓3 = Irrational number
Q/P =Rational
Irrational not equal to rational
this is a contradiction has arisen by the wrong assumption because of our incorrect assumption that 1 / ✓3 is rational.
hence, 1/ ✓3 is irrational .{proved}