`(sqrt a + sqrt b)(sqrt a - sqrt b)`

If one root of sqrt(a-x) + sqrt(b+x) = sqrt(a) + sqrt(b) is 2012, then a possible value of (a, b) is:

If both a\ a n d\ b are rational numbers, find the values of a\ a n d\ b in each of the following equalities: (sqrt(5)+\ sqrt(3))/(sqrt(5)-\ sqrt(3))=a+b\ sqrt(15)

Solve for x: (sqrt(a +x) + sqrt(a-x))/(sqrt(a+x)- sqrt(a-x))=b

If x = (sqrt(a + 3b) + sqrt(a - 3b))/ (sqrt(a + 3b) - sqrt(a - 3b)) prove that : 3bx^(2) - 2ax + 3b = 0 .

if x = (sqrt(3a + 2b) + sqrt(3a - 2b))/(sqrt(3a + 2b) - sqrt(3a - 2b)) prove that : bx^(2) - 3ax + b = 0

If sum_(k = 1)^(oo) (1)/((k + 2)sqrt(k) + ksqrt(k + 2)) = (sqrt(a) + sqrt(b))/(sqrt(c)) , where a, b, c in N and a,b,c in [1, 15] , then a + b + c is equal to

If a ,b ,c are in A.P., then prove that the following are also in A.P. 1/(sqrt(b)+sqrt(c)),1/(sqrt(c)+sqrt(a)),1/(sqrt(a)+sqrt(b))

Which of the following is equivalent to (sqrt(a)timessqrt(b))/(3sqrt(a)-2sqrt(b)) ?

If a = sqrt3, b = (1)/(2) (sqrt6 + sqrt2), and c = sqrt2 , then find angle A

2\ s in1^0 15 ' is equal to- a. \ sqrt(2-sqrt(2+sqrt(2))) b. \ sqrt(2-sqrt(2-sqrt(2))) c. sqrt((2+2sqrt(-sqrt(2)))/2) d. sqrt((2+sqrt(2+sqrt(2)))/2)