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 .

(-2-sqrt(3))(-2+sqrt(3)) when simplified is rational or irrational?

Simplify : ((2 sqrt(45) + 3 sqrt(20)))/(2sqrt5)

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

Check whether (2sqrt(3)+sqrt(5))*(2sqrt(3)-sqrt(5)) is rational or irrotational? Justify your answer

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

Check whether -sqrt63/sqrt448 is a rational number or an irrational number.

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