Which of the following is greater? `9/(sqrt(11)-sqrt(2)),9/(3sqrt(3))`

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

Which of the numbers is greater: 3sqrt(2) and 2 sqrt(3)

Which of the following is equal to root(3)(-1) a. (sqrt(3)+sqrt(-1))/2 b. (-sqrt(3)+sqrt(-1))/(sqrt(-4)) c. (sqrt(3)-sqrt(-1))/(sqrt(-4)) d. -sqrt(-1)

Rationalise the denominator of each of the following (i) (sqrt(3)+\ 1)/(sqrt(2)) (ii) (sqrt(2)+\ sqrt(5))/(sqrt(3)) (iii) (3sqrt(2))/(sqrt(5))

Which is greater sqrt(11)-sqrt(6) or sqrt(17)-sqrt(12) ?

Rationalise the denominator in each of the following: (i) 2/(sqrt(7)) (ii) 2/(3sqrt(3)) (iii) (2sqrt(7))/(sqrt(11))

Compute the following: sqrt(-25)+3sqrt(-4)+2sqrt(-9)

3sqrt(2^(5))sqrt(4^(9))sqrt(8)=

Find the values of a and b in each of the following : (a)(5+2sqrt3)/(7+4sqrt(3))=a-6sqrt(3)" "(b)(3-sqrt(5))/(3+2sqrt(5))=asqrt(5)-(19)/(11) (c )(sqrt(2)+sqrt(3))/(3sqrt2-2sqrt(3))=2-bsqrt(6)" "(d)(7+sqrt(5))/(7-sqrt(5))-(7-sqrt(5))/(7+sqrt(5))=a+(7)/(11)sqrt(5b)

Rationalise the denominator in each of the following : i) 2/7 (ii) 2/(3sqrt(3)) (iii) (2sqrt(7))/(sqrt(11))