find the value of y
`(sqrt(6+sqrt(6+sqrt(6+.......)))) = y`

The value of sqrt(6+sqrt(6+sqrt(6+))) ..........is (a) 4 (b) 3 (c) -2 (d) 3.5

Find the value of (sqrt(2)+1)^6-(sqrt(2)-1)^6dot

Using binomial theorem, write the value of (a+b)^(6) + (a-b)^(6) and hence find the value of ( sqrt(3) + sqrt(2) )^(6) + ( sqrt(3) - sqrt(2) )^(6) .

Evaluate x=sqrt(6+sqrt(6+sqrt(6+oodot)))

Evaluate x=sqrt(6+sqrt(6+sqrt(6+oodot)))

(i) If x = (6ab)/(a + b) , find the value of : (x + 3a)/(x - 3a) + (x + 3b)/(x - 3b) . (ii) a = (4sqrt(6))/(sqrt(2) + sqrt(3)) , find the value of : (a + 2sqrt(2))/(a - 2sqrt(2)) + (a + 2sqrt(3))/(a - 2sqrt(3)) .

If P+Q=(7pi)/(6) , then find the value of (sqrt(3)+tanP)xx(sqrt(3)+tanQ) .

Find the value of ( sqrt(2) + 1)^(6) + ( sqrt(2) - 1)^(6) and show that the value of ( sqrt(2) + 1)^(6) lies between 197 and 198.

(sqrt(6+2sqrt(5)))(sqrt(6-2sqrt(5)))

If sqrt(2)=1. 414 find the value of sqrt(3)\/ sqrt(6) upto three places of decimals.