Examine; Whether `3+2sqrt2` is rational or irrational.

Examine; Whether 3+2sqrt(2) is rational or irrational.

Examine, whether 30/(3sqrt5) is a rational or irrational number.

Examine whether (3+sqrt2) (3-sqrt2) is a rational or irrational number.

Examine whether the following are rational or irrational (sqrt5+3)^2

Examine whether the following are rational or irrational 9/(3sqrt3)

Examine whether the following are rational or irrational (3+sqrt5)(3-sqrt5)

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.