Prove that `sqrtp+sqrtq` is an irrational, where p,q are primes.

Prove that sqrt2+sqrt2 is irrational .

Prove that, (sqrt(3) - sqrt(5)) is an irrational number.

(i) Prove that sqrt2 is an irrational number. (ii) Prove that sqrt3 is an irrational number.

Prove that, log_(3)6 is an irrational number.

Prove that number (log)_2 7 is an irrational number.

Prove that the following are irrational. sqrt5

Prove that the following are irrational. 1/sqrt2

Prove that the following are irrational. 6+sqrt2

Prove that q^^~p -=~ (q to p)

Prove that the following are irrational. 3+2sqrt5