`(sqrtm+sqrtn-sqrtp)^2=0`

Find the limit, when n to oo, of (sqrtn)/((3 + 4sqrtn)^(2))+ (sqrtn)/(sqrt2 (3 sqrt2+ 4 sqrtn)^(2)) (sqrtn)/(sqrt3 (3sqrt3+ 4 sqrtn )^(2))+...+ (1)/(49n)

If sqrt(10+sqrt24 +sqrt40+sqrt60)= sqrtp+sqrtq+sqrtr then value of p + q + r is

If sin((23pi)/(24))=sqrt((2sqrtp-sqrtq-1)/(4sqrtr)) , then the value of (p^(2)+q^(2)-r^(2)) is equal to

Let S=(sqrt(1))/(1+sqrt1+sqrt(2))+sqrt(2)/(1+sqrt(2)+sqrt(3))+(sqrt(3))/(1+sqrt(3)+sqrt(4))+...+(sqrt(n))/(1+sqrt(n)+(sqrtn+1))=10 Then find the value of n.