`(-2 - sqrt3) (-2+sqrt3)` when simplified is rational or irrational ?

Write whether (2sqrt(45)+3sqrt(20))/(2sqrt(5)) on simplification gives a rational or an irrational number.

Write whether (2sqrt(45)+3sqrt(20))/(2sqrt(5)) on simplification gives a rational or an irrational number.

Write whether (2 sqrt(45) + 3 sqrt(20))/(2 sqrt(5)) on simplification gives an irrational or a rational number .

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.

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

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

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