(n/(Sqrt[d]))/.d->6//N

?Solve

Reduce[((((n^5)(X^15)))^(1/d))<=(n/(Sqrt[d]))/.d->6, X]

Root[((Sqrt[6])/(n^4))-6 ((#1)^15)&,1]

1.457*(Sqrt[6])

(3.5689065552350905^6)

32*15

(Ceiling[Log2[(((1.457*(Sqrt[6])))^6)]]+32)*15

660<=(473^2)

Attempts of 28-10-2022

((((1/(1.457*(Sqrt[6])))))^(6/15))

(36^6)<=((((36^92)))^(1/15))

((((36^92)))^(1/15))

(92/15)//N