Identify each of the following as rational or irrational number . (i) `sqrt(12)` (ii) `3 sqrt(2) xx sqrt(8)`

Examine, whether the following numbers are rational or irrational: (i) (sqrt(5)-2) (ii) sqrt(23) (iii) sqrt(255)

Examine each of the as a rational number or an irrational number. (3 + sqrt(2))^(2)

Examine each of the as a rational number or an irrational number. (3+sqrt(3)) (3-sqrt(3))

Examine each of the as a rational number or an irrational number. (6)/(sqrt(3))

Examine, whether the following numbers are rational or irrational: (i) sqrt(7) (ii) sqrt(4) (iii) 2+sqrt(3)

Show that the following numbers are irrational. (i) 6+sqrt(2) (ii) 3-sqrt(5)

Classify the following numbers as rational or irrational:(i) 2-sqrt(5) (ii) (3+sqrt(23))-sqrt(23) (iii) (2sqrt(7))/(7sqrt(7)) (iv) 1/(sqrt(2)) (v) 2pi

Examine, whether the following numbers are rational or irrational: (i) (2-sqrt(2))(2+sqrt(2)) (ii) (sqrt(2)+sqrt(3))^2

Examine, whether the following numbers are rational or irrational: (i) sqrt(3)+sqrt(2) (ii) sqrt(3)+sqrt(5) (iii) (sqrt(2)-2)^2

Examine, whether the following numbers are rational or irrational: (i) (sqrt(2)+2)^2 (ii) (5+sqrt(5))(5-sqrt(5)) (iii) 6/(2sqrt(3))