`(sqrta-sqrt5)/(sqrta+sqrtb)=1/2`

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

If a=(sqrt5+sqrt10)/(sqrt10-sqrt5) and b=(sqrt10-sqrt5)/(sqrt10+sqrt5) show that sqrta-sqrtb-2sqrt(ab)=0

The value of { 1/(sqrt6 - sqrt5) - 1/(sqrt5 - sqrt4) + 1/(sqrt4 - sqrt3) - 1/(sqrt3 - sqrt2) + 1/(sqrt2 - 1)} is :

(sqrta + sqrtb)^2 = ?

(1+sqrt2)/(sqrt5+sqrt3)= ((1+sqrt2)xx(sqrt5-sqrt3))/((sqrt5+sqrt3)xx(sqrt5-sqrt3))=

Show that: 1/((3-sqrt8))-1/((sqrt8-sqrt7))+1/((sqrt7-sqrt6))-1/((sqrt6-sqrt5))+1/((sqrt5-2))=5

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.