Question

show that 1/√3 us an 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}