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

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

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

10sqrt(12) -: 2sqrt(3)

Which of the following is equivalent to (10-sqrt(-12))/(1-sqrt(-27)) ? (Note: i=sqrt(-1) )

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)

Simplify each of the following : (i)(sqrt(2)+1)/(sqrt(2)-1)+(sqrt(2)-1)/(sqrt(2)+1)" "(ii)(sqrt(5)+sqrt(3))/(sqrt(5)-sqrt(3))+(sqrt(5)-sqrt(3))/(sqrt(5)+sqrt(3))" "(iii)(2)/(sqrt(5)+sqrt(3))+(1)/(sqrt(3)+sqrt(2))-(3)/(sqrt(5)+sqrt(2))" "(iv)(sqrt(7)+sqrt(5))/(sqrt(7)-sqrt(5))-(sqrt(7)-sqrt(5))/(sqrt(7)+sqrt(5))

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

sqrt(21-4sqrt5+8sqrt3-4sqrt12)=

If i=sqrt(-1) , which of the following is equivalent to (14)/(2-sqrt(10)i) ?

Rationalise the denominator of each of the following (i) 1/(sqrt(12)) (ii) (sqrt(2))/(sqrt(5))