Simplify `(sqrta+sqrtb)/(sqrta-sqrtb)`

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

(sqrta + sqrtb)^2 = ?

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

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) ?

Simplify (1-costheta)/sintheta

Simplify (1-costheta)/sintheta

Simplify : (32)^1