Question

Prove that 1/root3 is irrational

Answer 1

Answer:

$hey \: mate \: your \: answer \: is \: \\ 1 \sqrt{3 \: } proved \: that \: is \: irrational \: number. \\ \sqrt{3} = \frac{1}{q} (q = not \: zero). \\ \sqrt{3} = irrational \: number. \\ \frac{1}{q} = rational \: number. \\ l.h.s( = not)r.h.s \\ \\ therefore \: 1 \sqrt{3} irrational.$

Answer 2

Answer:

Step-by-step explanation:

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}