`log_(ksqrt(k)) (sqrt(k sqrt(k sqrt(k sqrt(k)))))`
(a)`(5/8)`
(b)`(15/16)`
(c)`(5/4)`

log_sqrt(k) (sqrt(k sqrt(k sqrt(k sqrt(k)))))

int(k^(sqrt(x)))/(sqrt(x))dx

If log (sqrt(2)+sqrt(3))=cosh^(-1)k then k=

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

If (6)/(2sqrt(3)-sqrt(5))=(12sqrt(3)+6sqrt(5))/(k), then k=

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

A non-zero vector vec a is such that its projections along vectors (hat i+hat j)/(sqrt(2)),(-hat i+hat j)/(sqrt(2)) and hat k are equal,then unit vector along vec a is (sqrt(2)hat j-hat k)/(sqrt(3))b(hat j-sqrt(2)hat k)/(sqrt(3)) c.(sqrt(2))/(sqrt(3))hat j+(hat k)/(sqrt(3))d.(hat j-hat k)/(sqrt(2))

Let K be a positive real number and A=[2k-1 2sqrt(k)2sqrt(k)2sqrt(k)1-2k-2sqrt(k)2k-1]a n dB=[0 2k-1sqrt(k)1-2k0 2-sqrt(k)-2sqrt(k)0] . If det (a d jA)+det(a d jB)=10^6,t h e n[k] is equal to. [Note: a d jM denotes the adjoint of a square matix M and [k] denotes the largest integer less than or equal to K ].

If 4sqrt(3sqrt(x^(2)))=x^(k), then k=