Which of the following is greater ?
(i) `7/8 and 6/7`
(ii) `sqrt13-sqrt12 , sqrt14-sqrt13`
(iii) `9/(sqrt11-sqrt2) , 6/(3sqrt3)`

Which of the following is greater? sqrt(13)-sqrt(12),sqrt(14)-sqrt(13)

Which of the following is greater? sqrt(13)-sqrt(12),sqrt(14)-sqrt(13)

1/(sqrt7+sqrt6-sqrt13)=

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))

Which of the following(s) is/are true? I. (sqrt9-sqrt6) gt (sqrt6-sqrt3) II. (sqrt6-sqrt9) gt (sqrt3-sqrt5)

find the values of a and b in each of the following (i) (5+2sqrt3)/(7+4sqrt3) = a-6sqrt3 (ii) (3-sqrt5)/(3+2sqrt5)= asqrt5-(19/11) (iii) (sqrt2+sqrt3)/(3sqrt2-2sqrt3)=2-bsqrt6 (iv) (7+sqrt5)/(7-sqrt5)-(7-sqrt5)/(7+sqrt5)=a+(7/11)bsqrt5

Simplify the following expressions: (i) (11+sqrt(11))(11-sqrt(11)) (ii) (5+sqrt(7))(5-sqrt(7)) (iii) (sqrt(8)-sqrt(2))(sqrt(8)+sqrt(2)) (iv) (sqrt(7)-3)(sqrt(7)+3)