Prove that ` (sqrt2+ 5sqrt2)` is irrational.

Prove that 2 sqrt(5) + sqrt(3) is irrational.

Prove that sqrt(2) + sqrt(3) is an irrational number.

Prove that sqrt(3) +sqrt(2) is an irrational number.

Prove that (2sqrt7)/(sqrt11) is irrational.

Prove that sqrt(2)+sqrt(3) is irrational .

Prove that sqrt(2)+sqrt(5) is irrational.

Prove that sqrt(2)+sqrt(5) is irrational.

Prove that (2sqrt3+sqrt5) is an irrational number. Also check whether (2sqrt 3+ sqrt5)(2sqrt 3- sqrt5) is rational or irrational.

Prove that (2sqrt3+sqrt5) is an irrational number. Also check whether (2sqrt 3+ sqrt5)(2sqrt 3- sqrt5) is rational or irrational.

Prove that (2sqrt3+sqrt5) is an irrational number. Also check whether (2sqrt 3+ sqrt5)(2sqrt 3- sqrt5) is rational or irrational.