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

sum_(k=1)^(oo)(1)/(k sqrt(k+2)+(k+2)sqrt(k))=(2+sqrt(2))/(a) then

Suppose sum_(n=1)^(oo)(1)/((n+2)sqrt(n)+nsqrt(n+2))=(sqrt(b)+sqrt(c))/(sqrt(a)) where a,b,c in N and A = ((sqrt(a),b),(c,sqrt(a))) then (det(A))/(bc) is equal to ____

If sum_(k=4)^(143)(1)/(sqrt(k)+sqrt(k+1))=a-sqrt(b) then a and b are respectively

If sum_(k=4)^(143) (1)/(sqrt(k)+sqrt(k+1))=a-sqrt(b) then a and b respectively are

If int_(0)^(1)(1)/(sqrt(3+x)+sqrt(1+x))dx=a+b sqrt(2)+c sqrt(3) ,where a,b,c are rational numbers, then 2a+3b-4c , is equal to:

if (1)/(sqrt(2)+sqrt(3)+sqrt(5))=a sqrt(2)+b sqrt(3)+c sqrt(30) then value of a+b+c is (where a,b,c are rational numbers)

If sum of series S=(sqrt(2)+1)+1+(sqrt(2)-1)+....oo is given as (a+b sqrt(2))/(c), where a,b,c in N value of (a+b)/(c), is

If a,b,c are in A.P then (1)/(sqrt(b)-sqrt(c)),(1)/(sqrt(c)-sqrt(a)),(1)/(sqrt(a)-sqrt(b)) are in