`(sqrta + sqrtb)^2 = ?`

(a + b)(sqrta + sqrtb ) (sqrta - sqrtb)= "________"

If x = (4 sqrt(ab))/(sqrt a + sqrt b) , then what is the value of (x + 2sqrt a)/(x - 2 sqrta) + (x + 2 sqrtb)/(x - 2 sqrt b) " (when " a ne b) ?

If y = tan^(-1) ((sqrta + sqrtx)/(1 - sqrt(ax))) " then " (dy)/(dx) = ?

If (sqrta+sqrtb)=17 and (sqrta-sqrtb)=1 , then the value of sqrtab is :

If a,b,c are in AP, show that 1/((sqrtb+sqrtc)),1/((sqrtc+sqrta)),1/((sqrta+sqrtb)) are in AP.

If sum of first n terms of an AP (having positive terms) is given by S_n=(1+2T_n)(1-T_n) , where T_n is the nth term of series , and T_2^2=(sqrta-sqrtb)/4 (a,b in N) . Then (a+b) is ____