[" 1.Show fhat the following numbers are intional."],[[" (i) "(1)/(sqrt(2))," (bi) "7sqrt(5)," (ifi) "6+sqrt(2)," (iv) "3-sqrt(5)]]

Show that the following numbers are irrational.(1)/(sqrt(2)) (ii) 7sqrt(5)

Show that the following numbers are irrational. 1/(sqrt(2)) (ii) 7sqrt(5)

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

Prove that the following are irrationals (1) (1)/sqrt(2) (2) 7sqrt(5) (3)6+sqrt(2)

Examine whether the following numbres are rational or irrational: (i) (5-sqrt(5)) (5+sqrt(5)) (ii) (sqrt(3)+2)^(2) (iii) (2sqrt(13))/(3sqrt(52) - 4sqrt(117)) (iv) sqrt(8) + 4sqrt(32) - 6sqrt(2)

Which one of the following are irrational numbers ? (i) sqrt(2+sqrt3) , (ii) sqrt(4+sqrt25) , (iii) root3(5+sqrt7) , (iv) sqrt(8-root3(8))

Classify the following numbers as rational or irrational . i) 5-sqrt(3) ii) sqrt(3)+sqrt(2) iii) (sqrt(2)-2)^(2) iv) (2sqrt(7))/(7sqrt(7))

Simplify each of the following expressions: (i) (3+sqrt(3))(2+sqrt(2)) (ii) (3+sqrt(3))(3-sqrt(3)) (iii) (sqrt(5)+sqrt(2))^2 (iv) (sqrt(5)-sqrt(2))(sqrt(5)+sqrt(2))

If (4+3sqrt(5))/(sqrt(5))=a+b sqrt(5), bis

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