Prove that `sqrt5+sqrt7` is irrational.

Prove that sqrt3+sqrt7 is irrational.

Prove that sqrt5+sqrt11 is irrational.

Prove that sqrt3+sqrt7 is an irrational number.

Prove that sqrt5-sqrt3 is a irrational number.

Prove that sqrt3+sqrt5 is irrational

Prove that sqrt3+sqrt5 is irrational

Prove that 2sqrt5+ sqrt7 is an Irrational Number. Also check whether (2sqrt5+sqrt7)(2sqrt5-sqrt7) a rational or Irrational.

Prove that sqrt3-sqrt5 is an irrational number.

Prove that (sqrt2+ 5sqrt2) is irrational.

Prove that (sqrt5)/(3sqrt3) is irrational.