`(6+sqrt(5))/(6-sqrt(5))`

What is the value of (sqrt(6)+sqrt(5))/(sqrt(6)-sqrt(5)) ?

If a=sqrt(6+2sqrt(5))-sqrt(6-2sqrt(5)),b=^(3)sqrt(17sqrt(5)+38)-^(3)sqrt(17sqrt(5)-38) then the value of log_(a)b is equal to

Prove that: 1/(3-sqrt(8))-1/(sqrt(8)-\ sqrt(7))+1/(sqrt(7)-\ sqrt(6))-1/(sqrt(6)-\ sqrt(5))+1/(sqrt(5)-2)=5

(sqrt(7)+sqrt(5))/(sqrt(5)) is equal to (a) 1 (b) 2(c)6-sqrt(35) (d) 6+sqrt(35)

Simplify (1)/(sqrt(6)-sqrt(5))+sqrt(6)-sqrt(5)

Rationalize the denominator (5+sqrt(6))/(5-sqrt(6))

Simplify each of the following by rationalising the denominator: (1)/(5+sqrt(2))( ii) (5+sqrt(6))/(5-sqrt(6))

(5+sqrt(6))/(5-sqrt(6))times(5+sqrt(6))/(5+sqrt 6)

Rationalize the denominatiors of : (sqrt(6)-sqrt(5))/(sqrt(6)+sqrt(5))