Your daughter and your brother's child are first cousins to each other.
Your daughter and your brother's granddaughter are first cousins, once removed, to each other. The "once removed" refers to the fact that they are separated by one generation if you count from their common ancestor, your parents.
Your children and your brothers children are first cousins. Your grand children and your brothers grand children are second cousins. There is a difference on one generation between the two. That would make them second cousins once removed.
Your granddaughter would be your niece's daughter's cousin. They would be cousins, in other words. This can also vary by marriage, or to what degree the blood line is.
what relation is my daughter to my half brother;s grand child
Second cousins.
If you really need a relationship term, use granddaughter-in-law. Most people would merely say "my grandson's wife."
Your sisters grandson would be your grandnephew.
nothing
Your granddaughter and your sister's grandson are second cousins.
Your brothers great granddaughter is your great great niece.
Your grandson and your sister's grandson are second cousins to each other.
they would be first cousins once removed. this is because the grandchild's parent would be your son's first cousin and because its the cousin's child, its once removed
granddaughter
There is no real blood relationship, as you do not share a common ancestor. You could refer to him as your grandson-in-law. It is probably easier just to call him by name and explain that is your granddaughter's husband.
Second cousins.
My daughter's husband is my son-in-law, so is my granddaughter's husband my grandson-in-law? Pat
Granddaughter