Let x = cube of √ 3 be a real number such that x³ =3. (a) Write the contrapositive of the statement : if 3 | n³ then 3 | n. (b) Let n be an

Let x = cube of √ 3 be a real number such that x³ =3.

(a) Write the contrapositive of the statement : if 3 | n³ then 3 | n.

(b) Let n be an integer. Show that if n ≇ 0(mod 3),then n³ ≇ 0(mod 3).

(c) Use (a) and/or (b) to show that cube of √ 3 is irrational