`3,3+sqrt(2),3+2sqrt(2),3+3sqrt(2)..........`, forms an AP then find the `n^(th)` term.

If 3,3+sqrt(2),3+2sqrt(2),3+3sqrt(2),........ forms an AP then find the common difference

(2sqrt3 + sqrt2)(2sqrt3-sqrt2)

(3sqrt(2)-sqrt(3))(4sqrt(3)-sqrt(2))

Is the sequence 3,3 + sqrt(2), 3+ 2sqrt(2) , 3+ 3sqrt(2) , .... an A.P. ? Justify.

(2sqrt(3)+3sqrt(2))/(3sqrt(2)-2sqrt(3))

Evaluate (2-sqrt(3))/(sqrt(2)-sqrt(3))

( sqrt(2) + sqrt(3)) /( sqrt(2 - sqrt(3)) = a + bsqrt(3) , find the a and b

Which of the following are A.P.'s ? If they form an A.P., find the common difference 'd' and write three more terms : (i) -10, -6, -2, 2, ..... " " (ii) 3, 3+sqrt(2), 3+2sqrt(2), 3+3sqrt(2), ... (iii) 0, -4, -8, -12, .... " " (iv) a, 2a, 3a, 4a, ..... (v) sqrt(3), sqrt(6), sqrt(9), sqrt(12), .....

Evaluate : sqrt(3)/sqrt(2 ) + sqrt(2) / sqrt(3)